Yes, the composition A001477 = A091202(A091203(n)) seems to be correct.
Yes, the composition A001477 = A091203(A091202(n)) seems to be correct.
Yes, the composition A001477 = A091204(A091205(n)) seems to be correct.
Yes, the composition A001477 = A091205(A091204(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A001477">A001477</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46">0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44</A>
Yes, function A049084 seems to be an inverse of A000040 when computed up to n=1024
Yes, the composition A000040 = A091203(A014580(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A000040">A000040</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211">2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197</A>
Yes, this function A049084 seems to be an inverse function of non-surjective injection A000040 (checked up to n=1024).
Yes, the composition A049084 = A091227(A091202(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A049084">A049084</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,0,3,0,4,0,0,0,5,0,6,0,0,0,7,0,8,0,0,0,9,0,0,0,0,0,10,0,11,0,0,0,0,0,12,0,0,0,13,0,14,0,0,0,15">0,1,2,0,3,0,4,0,0,0,5,0,6,0,0,0,7,0,8,0,0,0,9,0,0,0,0,0,10,0,11,0,0,0,0,0,12,0,0,0,13,0,14,0,0</A>
Yes, the composition A001221 = A091221(A091202(n)) seems to be correct.
Yes, the composition A001221 = A091221(A091204(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A001221">A001221</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,1,1,2,1,1,1,2,1,2,1,2,2,1,1,2,1,2,2,2,1,2,1,2,1,2,1,3,1,1,2,2,2,2,1,2,2,2,1,3,1,2,2,2,1">0,1,1,1,1,2,1,1,1,2,1,2,1,2,2,1,1,2,1,2,2,2,1,2,1,2,1,2,1,3,1,1,2,2,2,2,1,2,2,2,1,3,1,2,2</A>
Yes, the composition A001222 = A091222(A091202(n)) seems to be correct.
Yes, the composition A001222 = A091222(A091204(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A001222">A001222</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,2,1,2,1,3,2,2,1,3,1,2,2,4,1,3,1,3,2,2,1,4,2,2,3,3,1,3,1,5,2,2,2,4,1,2,2,4,1,3,1,3,3,2,1">0,1,1,2,1,2,1,3,2,2,1,3,1,2,2,4,1,3,1,3,2,2,1,4,2,2,3,3,1,3,1,5,2,2,2,4,1,2,2,4,1,3,1,3,3</A>
Yes, function A091227 seems to be an inverse of A014580 when computed up to n=1024
Yes, the composition A014580 = A091202(A000040(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A014580">A014580</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=7,11,13,19,25,31,37,41,47,55,59,61,67,73,87,91,97,103,109,115,117,131,137,143,145,157,167,171,185,191,193,203,211,213,229,239,241,247,253,283,285,299,301,313,319">2,3,7,11,13,19,25,31,37,41,47,55,59,61,67,73,87,91,97,103,109,115,117,131,137,143,145,157,167,171,185,191,193,203,211,213,229,239,241,247,253,283,285,299,301</A>
Yes, function A091203 seems to be an inverse of A091202 when computed up to n=1024
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091202">A091202</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,7,6,11,8,5,14,13,12,19,22,9,16,25,10,31,28,29,26,37,24,21,38,15,44,41,18,47,32,23,50,49,20,55,62,53,56,59,58,61,52,27,74">0,1,2,3,4,7,6,11,8,5,14,13,12,19,22,9,16,25,10,31,28,29,26,37,24,21,38,15,44,41,18,47,32,23,50,49,20,55,62,53,56,59,58,61,52</A>
Yes, function A091202 seems to be an inverse of A091203 when computed up to n=1024
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091203">A091203</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,9,6,5,8,15,18,7,12,11,10,27,16,81,30,13,36,25,14,33,24,17,22,45,20,21,54,19,32,57,162,55,60,23,26,63,72,29,50,51,28,135,66">0,1,2,3,4,9,6,5,8,15,18,7,12,11,10,27,16,81,30,13,36,25,14,33,24,17,22,45,20,21,54,19,32,57,162,55,60,23,26,63,72,29,50,51,28</A>
Yes, function A091205 seems to be an inverse of A091204 when computed up to n=256
Yes, the composition A091204 = A091227(A091204(A000040(n))) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091204">A091204</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,7,6,11,8,5,14,25,12,19,22,9,16,47,10,31,28,29,50,13,24,21,38,15,44,61,18,137,32,43,94,49,20,55,62,53,56,97,58,115,100,27,26">0,1,2,3,4,7,6,11,8,5,14,25,12,19,22,9,16,47,10,31,28,29,50,13,24,21,38,15,44,61,18,137,32,43,94,49,20,55,62,53,56,97,58,115,100</A>
Yes, function A091204 seems to be an inverse of A091205 when computed up to n=256
Yes, the composition A091205 = A049084(A091205(A014580(n))) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091205">A091205</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,9,6,5,8,15,18,7,12,23,10,27,16,81,30,13,36,25,14,69,24,11,46,45,20,21,54,19,32,57,162,115,60,47,26,63,72,61,50,33,28,135,138">0,1,2,3,4,9,6,5,8,15,18,7,12,23,10,27,16,81,30,13,36,25,14,69,24,11,46,45,20,21,54,19,32,57,162,115,60,47,26,63,72,61,50,33,28</A>
Yes, the composition A091206 = A000040(A091207(n)) seems to be correct.
Yes, the composition A091206 = A014580(A091208(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091206">A091206</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=7,11,13,19,31,37,41,47,59,61,67,73,97,103,109,131,137,157,167,191,193,211,229,239,241,283,313,379,397,419,433,463,487,499,557,563,587,601,607,613,617,631,647,661,677">2,3,7,11,13,19,31,37,41,47,59,61,67,73,97,103,109,131,137,157,167,191,193,211,229,239,241,283,313,379,397,419,433,463,487,499,557,563,587,601,607,613,617,631,647</A>
Yes, the composition A091207 = A049084(A091206(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091207">A091207</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=4,5,6,8,11,12,13,15,17,18,19,21,25,27,29,32,33,37,39,43,44,47,50,52,53,61,65,75,78,81,84,90,93,95,102,103,107,110,111,112,113,115,118,121,123">1,2,4,5,6,8,11,12,13,15,17,18,19,21,25,27,29,32,33,37,39,43,44,47,50,52,53,61,65,75,78,81,84,90,93,95,102,103,107,110,111,112,113,115,118</A>
Yes, the composition A091208 = A091227(A091206(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091208">A091208</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=3,4,5,6,8,9,10,11,13,14,15,16,19,20,21,24,25,28,29,32,33,35,37,38,39,42,46,55,58,60,62,65,68,69,77,78,79,80,81,82,83,85,87,88,91">1,2,3,4,5,6,8,9,10,11,13,14,15,16,19,20,21,24,25,28,29,32,33,35,37,38,39,42,46,55,58,60,62,65,68,69,77,78,79,80,81,82,83,85,87</A>
Yes, the composition A091209 = A000040(A091210(n)) seems to be correct.
Yes, the composition A091209 = A091242(A091211(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091209">A091209</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=23,29,43,53,71,79,83,89,101,107,113,127,139,149,151,163,173,179,181,197,199,223,227,233,251,257,263,269,271,277,281,293,307,311,317,331,337,347,349,353,359,367,373,383,389">5,17,23,29,43,53,71,79,83,89,101,107,113,127,139,149,151,163,173,179,181,197,199,223,227,233,251,257,263,269,271,277,281,293,307,311,317,331,337,347,349,353,359,367,373</A>
Yes, the composition A091210 = A049084(A091209(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091210">A091210</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=9,10,14,16,20,22,23,24,26,28,30,31,34,35,36,38,40,41,42,45,46,48,49,51,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,76,77">3,7,9,10,14,16,20,22,23,24,26,28,30,31,34,35,36,38,40,41,42,45,46,48,49,51,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74</A>
Yes, the composition A091211 = A091246(A091209(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091211">A091211</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=16,21,32,41,55,62,66,71,81,86,91,103,113,121,123,134,142,148,150,163,165,186,190,195,210,215,221,227,229,235,239,249,261,265,270,283,288,298,300,303,307,314,319,327,333">2,11,16,21,32,41,55,62,66,71,81,86,91,103,113,121,123,134,142,148,150,163,165,186,190,195,210,215,221,227,229,235,239,249,261,265,270,283,288,298,300,303,307,314,319</A>
Yes, the composition A091212 = A091242(A091213(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091212">A091212</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=8,9,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,56,57,58,60,62,63,64,65,66,68,69">4,6,8,9,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,56,57,58,60,62,63,64,65,66</A>
Yes, the composition A091213 = A091246(A091212(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091213">A091213</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=4,5,6,7,8,9,10,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53">1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51</A>
Yes, the composition A091214 = A014580(A091215(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091214">A091214</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=87,91,115,117,143,145,171,185,203,213,247,253,285,299,301,319,333,351,355,357,361,369,375,391,395,415,425,445,451,471,477,501,505,515,529,535,539,545,623,637,665,675,687,695,721">25,55,87,91,115,117,143,145,171,185,203,213,247,253,285,299,301,319,333,351,355,357,361,369,375,391,395,415,425,445,451,471,477,501,505,515,529,535,539,545,623,637,665,675,687</A>
Yes, the composition A091215 = A091227(A091214(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091215">A091215</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=17,18,22,23,26,27,30,31,34,36,40,41,43,44,45,47,48,49,50,51,52,53,54,56,57,59,61,63,64,66,67,70,71,72,73,74,75,76,84,86,89,90,92,93,96">7,12,17,18,22,23,26,27,30,31,34,36,40,41,43,44,45,47,48,49,50,51,52,53,54,56,57,59,61,63,64,66,67,70,71,72,73,74,75,76,84,86,89,90,92</A>
Yes, the composition A091219 = A008683(A091203(n)) seems to be correct.
Yes, the composition A091219 = A008683(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091219">A091219</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=-1,0,0,1,-1,0,1,0,-1,0,-1,1,0,0,0,-1,-1,0,0,1,1,0,-1,1,0,0,1,0,-1,0,1,0,1,0,-1,1,0,0,-1,0,1,0,0,-1,-1">1,-1,-1,0,0,1,-1,0,1,0,-1,0,-1,1,0,0,0,-1,-1,0,0,1,1,0,-1,1,0,0,1,0,-1,0,1,0,1,0,-1,1,0,0,-1,0,1,0,0</A>
Yes, the composition A091220 = A000005(A091203(n)) seems to be correct.
Yes, the composition A091220 = A000005(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091220">A091220</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,3,4,2,4,4,6,2,6,2,4,4,5,5,8,2,9,3,4,4,8,2,4,6,6,4,8,2,6,4,10,4,12,2,4,6,12,2,6,4,6,8,8,2">1,2,2,3,3,4,2,4,4,6,2,6,2,4,4,5,5,8,2,9,3,4,4,8,2,4,6,6,4,8,2,6,4,10,4,12,2,4,6,12,2,6,4,6,8</A>
Yes, the composition A091221 = A001221(A091203(n)) seems to be correct.
Yes, the composition A091221 = A001221(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091221">A091221</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,1,1,2,1,1,2,2,1,2,1,2,1,1,1,3,1,2,1,2,2,2,1,2,2,2,2,2,1,1,2,2,2,3,1,2,2,2,1,2,2,2,2,3,1">0,1,1,1,1,2,1,1,2,2,1,2,1,2,1,1,1,3,1,2,1,2,2,2,1,2,2,2,2,2,1,1,2,2,2,3,1,2,2,2,1,2,2,2,2</A>
Yes, the composition A091222 = A001222(A091203(n)) seems to be correct.
Yes, the composition A091222 = A001222(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091222">A091222</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,2,2,2,1,3,2,3,1,3,1,2,3,4,4,3,1,4,2,2,2,4,1,2,3,3,2,4,1,5,2,5,2,4,1,2,3,5,1,3,2,3,4,3,1">0,1,1,2,2,2,1,3,2,3,1,3,1,2,3,4,4,3,1,4,2,2,2,4,1,2,3,3,2,4,1,5,2,5,2,4,1,2,3,5,1,3,2,3,4</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091223">A091223</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=4,2,6,6,6,6,4,6,8,4,2,6,6,14,4,6,6,6,6,2,14,6,6,2,12,10,4,14,6,2,10,8,2,16,10,2,6,6,30,2,14,2,12,6,14">1,4,4,2,6,6,6,6,4,6,8,4,2,6,6,14,4,6,6,6,6,2,14,6,6,2,12,10,4,14,6,2,10,8,2,16,10,2,6,6,30,2,14,2,12</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091224">A091224</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,3,3,3,3,2,3,4,2,1,3,3,7,2,3,3,3,3,1,7,3,3,1,6,5,2,7,3,1,5,4,1,8,5,1,3,3,15,1,7,1,6,3,7,9">2,2,1,3,3,3,3,2,3,4,2,1,3,3,7,2,3,3,3,3,1,7,3,3,1,6,5,2,7,3,1,5,4,1,8,5,1,3,3,15,1,7,1,6,3</A>
Yes, the composition A091225 = A010051(A091203(n)) seems to be correct.
Yes, the composition A091225 = A010051(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091225">A091225</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0">0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091226">A091226</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,2,2,2,2,3,3,3,3,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10,10,10">0,0,1,2,2,2,2,3,3,3,3,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10</A>
Yes, this function A091227 seems to be an inverse function of non-surjective injection A014580 (checked up to n=1024).
Yes, the composition A091227 = A049084(A091203(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091227">A091227</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,0,0,0,3,0,0,0,4,0,5,0,0,0,0,0,6,0,0,0,0,0,7,0,0,0,0,0,8,0,0,0,0,0,9,0,0,0,10,0,0,0,0,0,11">0,1,2,0,0,0,3,0,0,0,4,0,5,0,0,0,0,0,6,0,0,0,0,0,7,0,0,0,0,0,8,0,0,0,0,0,9,0,0,0,10,0,0,0,0</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091228">A091228</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,7,7,7,7,11,11,11,11,13,13,19,19,19,19,19,19,25,25,25,25,25,25,31,31,31,31,31,31,37,37,37,37,37,37,41,41,41,41,47,47,47,47,47">2,2,2,3,7,7,7,7,11,11,11,11,13,13,19,19,19,19,19,19,25,25,25,25,25,25,31,31,31,31,31,31,37,37,37,37,37,37,41,41,41,41,47,47,47</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091229">A091229</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=0,0,3,2,1,0,3,2,1,0,1,0,5,4,3,2,1,0,5,4,3,2,1,0,5,4,3,2,1,0,5,4,3,2,1,0,3,2,1,0,5,4,3,2,1">2,1,0,0,3,2,1,0,3,2,1,0,1,0,5,4,3,2,1,0,5,4,3,2,1,0,5,4,3,2,1,0,5,4,3,2,1,0,3,2,1,0,5,4,3</A>
Yes, the composition A091230 = A091204(A007097(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091230">A091230</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=3,7,25,137,1123,13103">1,2,3,7,25,137,1123,13103</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091231">A091231</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=0,1,1,3,4,8,13,26,45,83,152,281,523,974,1822,3451,6490,12348,23389,44598,85076,162735,311721,598669,1150613,2215562,4271844,8247356,15941844,30849114,59758104,115878009,224900328">0,0,0,1,1,3,4,8,13,26,45,83,152,281,523,974,1822,3451,6490,12348,23389,44598,85076,162735,311721,598669,1150613,2215562,4271844,8247356,15941844,30849114,59758104,115878009,224900328</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091232">A091232</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,0,2,1,4,5,13,19,38,69,129,242,451,848,1629,3039,5858,11041,21209,40478,77659,148986,286948,551944,1064949,2056282,3975512,7694488,14907270,28908990,56119905,109022319,211980753">0,0,1,0,2,1,4,5,13,19,38,69,129,242,451,848,1629,3039,5858,11041,21209,40478,77659,148986,286948,551944,1064949,2056282,3975512,7694488,14907270,28908990,56119905,109022319,211980753</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091233">A091233</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,4,11,53,307,2177,19503,219489,3041937,50727755,997525229,22742733167,592821131015,17461204518199">1,1,2,4,11,53,307,2177,19503,219489,3041937,50727755,997525229,22742733167,592821131015,17461204518199</A>
Yes, the composition A091238 = A061775(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091238">A091238</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=3,3,5,4,4,4,6,6,4,5,6,5,7,5,9,7,5,7,7,5,8,6,5,7,8,6,6,8,5,6,7,10,9,8,7,6,8,8,7,8,7,6,10,9,5">1,2,3,3,5,4,4,4,6,6,4,5,6,5,7,5,9,7,5,7,7,5,8,6,5,7,8,6,6,8,5,6,7,10,9,8,7,6,8,8,7,8,7,6,10</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091239">A091239</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=3,6,5,9,15,23,17,34,51,75,85,153,255,359,257,514,771,1275,1285,2313,3855,5911,4369,8738,13107,19275,21845,39321,65535">1,2,3,6,5,9,15,23,17,34,51,75,85,153,255,359,257,514,771,1275,1285,2313,3855,5911,4369,8738,13107,19275,21845,39321,65535</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091240">A091240</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=4,11,47,319,3053,40345">1,2,4,11,47,319,3053,40345</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091241">A091241</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,6,43,311,3039,40323">1,1,2,6,43,311,3039,40323</A>
Yes, function A091246 seems to be an inverse of A091242 when computed up to n=1024
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091242">A091242</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=6,8,9,10,12,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,60,62">4,5,6,8,9,10,12,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091243">A091243</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,1,1,2,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2,2,1">1,1,2,1,1,2,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091244">A091244</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0">0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091245">A091245</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=0,0,1,2,3,3,4,5,6,6,7,7,8,9,10,11,12,12,13,14,15,16,17,17,18,19,20,21,22,22,23,24,25,26,27,27,28,29,30,30,31,32,33,34,35">0,0,0,0,1,2,3,3,4,5,6,6,7,7,8,9,10,11,12,12,13,14,15,16,17,17,18,19,20,21,22,22,23,24,25,26,27,27,28,29,30,30,31,32,33</A>
Yes, this function A091246 seems to be an inverse function of non-surjective injection A091242 (checked up to n=1024).
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091246">A091246</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=0,1,2,3,0,4,5,6,0,7,0,8,9,10,11,12,0,13,14,15,16,17,0,18,19,20,21,22,0,23,24,25,26,27,0,28,29,30,0,31,32,33,34,35,0">0,0,0,1,2,3,0,4,5,6,0,7,0,8,9,10,11,12,0,13,14,15,16,17,0,18,19,20,21,22,0,23,24,25,26,27,0,28,29,30,0,31,32,33,34</A>
Yes, the composition A091247 = A066247(A091203(n)) seems to be correct.
Yes, the composition A091247 = A066247(A091205(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091247">A091247</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1">0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091248">A091248</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,4,2,4,3,8,3,4,2,8,2,6,5,16,3,6,2,8,6,4,3,16,3,4,4,12,2,10,7,32,5,6,6,12,2,4,5,16,3,12,4,8,8,6,3">1,2,2,4,2,4,3,8,3,4,2,8,2,6,5,16,3,6,2,8,6,4,3,16,3,4,4,12,2,10,7,32,5,6,6,12,2,4,5,16,3,12,4,8,8</A>
Yes, the composition A091249 = A091227(A091250(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091249">A091249</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=4,5,6,7,9,10,11,12,13,14,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,48,49,50,51,52,53,56,58">2,3,4,5,6,7,9,10,11,12,13,14,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,48,49,50,51,52,53</A>
Yes, the composition A091250 = A014580(A091249(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091250">A091250</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=11,13,19,25,37,41,47,55,59,61,67,91,97,103,109,115,131,137,143,145,157,167,171,185,191,193,203,211,213,229,239,241,247,253,285,299,301,333,351,355,357,361,369,391,397">3,7,11,13,19,25,37,41,47,55,59,61,67,91,97,103,109,115,131,137,143,145,157,167,171,185,191,193,203,211,213,229,239,241,247,253,285,299,301,333,351,355,357,361,369</A>
Yes, the composition A091251 = A091227(A091252(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091251">A091251</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=16,17,23,42,46,47,54,55,57,59,60,62,63,66,67,69,71,72,74,79,82,89,100,107,117">1,8,16,17,23,42,46,47,54,55,57,59,60,62,63,66,67,69,71,72,74,79,82,89,100,107,117</A>
Yes, the composition A091252 = A014580(A091251(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091252">A091252</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=73,87,117,283,313,319,375,379,395,415,419,433,445,471,477,499,505,515,535,587,613,665,769,841,929">2,31,73,87,117,283,313,319,375,379,395,415,419,433,445,471,477,499,505,515,535,587,613,665,769,841,929</A>
Yes, the composition A091253 = A007088(A091252(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091253">A091253</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1001001,1010111,1110101,100011011,100111001,100111111,101110111,101111011,110001011,110011111,110100011,110110001,110111101,111010111,111011101,111110011,111111001,1000000011,1000010111,1001001011,1001100101,1010011001,1100000001,1101001001,1110100001">10,11111,1001001,1010111,1110101,100011011,100111001,100111111,101110111,101111011,110001011,110011111,110100011,110110001,110111101,111010111,111011101,111110011,111111001,1000000011,1000010111,1001001011,1001100101,1010011001,1100000001,1101001001,1110100001</A>
Yes, the composition A091254 = A007088(A091242(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091254">A091254</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=110,1000,1001,1010,1100,1110,1111,10000,10001,10010,10100,10101,10110,10111,11000,11010,11011,11100,11101,11110,100000,100001,100010,100011,100100,100110,100111,101000,101010,101011,101100,101101,101110,110000,110001,110010,110011,110100,110101,110110,111000,111001,111010,111100,111110">100,101,110,1000,1001,1010,1100,1110,1111,10000,10001,10010,10100,10101,10110,10111,11000,11010,11011,11100,11101,11110,100000,100001,100010,100011,100100,100110,100111,101000,101010,101011,101100,101101,101110,110000,110001,110010,110011,110100,110101,110110,111000,111001,111010</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091255">A091255</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=1,1,2,1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,2,3,4,3,2,1,1,1,3,1,1,3,1,1,1,2,1,2,5,2,1,2,1,1,1">1,1,1,1,2,1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,2,3,4,3,2,1,1,1,3,1,1,3,1,1,1,2,1,2,5,2,1,2,1</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091256">A091256</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,2,3,4,6,6,4,5,4,3,4,5,6,10,12,12,10,6,7,6,5,4,5,6,7,8,14,6,20,20,6,14,8,9,8,9,12,5,12,9,8,9,10,18">1,2,2,3,2,3,4,6,6,4,5,4,3,4,5,6,10,12,12,10,6,7,6,5,4,5,6,7,8,14,6,20,20,6,14,8,9,8,9,12,5,12,9,8,9</A>
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A091257">A091257</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=2,3,4,3,4,6,6,4,5,8,5,8,5,6,10,12,12,10,6,7,12,15,16,15,12,7,8,14,10,20,20,10,14,8,9,16,9,24,17,24,9,16,9,10,18">1,2,2,3,4,3,4,6,6,4,5,8,5,8,5,6,10,12,12,10,6,7,12,15,16,15,12,7,8,14,10,20,20,10,14,8,9,16,9,24,17,24,9,16,9</A>
Yes, the composition A061775 = A091238(A091204(n)) seems to be correct.
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A061775">A061775</A> = 
<A HREF="http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eishis.cgi?sequence=3,3,4,4,4,4,5,5,5,5,5,5,6,5,5,6,5,6,6,6,6,6,7,6,7,6,6,7,6,6,7,6,7,7,6,6,7,7,6,7,6,7,8,7,7">1,2,3,3,4,4,4,4,5,5,5,5,5,5,6,5,5,6,5,6,6,6,6,6,7,6,7,6,6,7,6,6,7,6,7,7,6,6,7,7,6,7,6,7,8</A>