%I A095076 %S A095076 0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0, %T A095076 1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0, %U A095076 0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0 %N A095076 Parity of 1-fibits in Zeckendorf expansion A014417(n). %Y A095076 a(n) = A010060(A003714(n)). a(n) = 1 - A095111(n). Characteristic function of A020899. %K A095076 nonn %O A095076 0,1 %A A095076 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A095111 %S A095111 1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1, %T A095111 0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1, %U A095111 1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1 %N A095111 One minus the parity of 1-fibits in Zeckendorf expansion A014417(n). %Y A095111 a(n) = A010059(A003714(n)). a(n) = 1 - A095076(n). Characteristic function of A095096. %K A095111 nonn %O A095111 0,1 %A A095111 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A020899 %S A020899 1,2,3,5,8,12,13,17,19,20,21,25,27,28,30,31,32,34,38,40,41,43,44,45, %T A020899 48,49,50,52,55,59,61,62,64,65,66,69,70,71,73,77,78,79,81,84,88,89,93, %U A020899 95,96,98,99,100,103,104,105,107,111,112,113,115,118,122,124,125,126 %N A020899 Fibodious numbers: those n for which the parity of 1-fibits in Zeckendorf expansion A014417(n) is odd, i.e. for which A095076(n)=1. %Y A020899 Complement of A095096. Cf. A000069 (odious numbers), A095083 (fibodious primes). %K A020899 nonn %O A020899 0,2 %A A020899 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A095096 %S A095096 0,4,6,7,9,10,11,14,15,16,18,22,23,24,26,29,33,35,36,37,39,42,46,47, %T A095096 51,53,54,56,57,58,60,63,67,68,72,74,75,76,80,82,83,85,86,87,90,91,92, %U A095096 94,97,101,102,106,108,109,110,114,116,117,119,120,121,123,127,129 %N A095096 Fibevil numbers: those n for which the parity of 1-fibits in Zeckendorf expansion A014417(n) is even, i.e. for which A095076(n)=0. %Y A095096 Characteristic function: A095111. Complement of A020899. Cf. A001969 (evil numbers), A095084 (fibevil primes). %K A095096 nonn %O A095096 0,2 %A A095096 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A026274 %S A026274 3,5,8,11,13,16,18,21,24,26,29,32,34,37,39,42,45,47,50,52,55,58,60,63, %T A026274 66,68,71,73,76,79,81,84,87,89,92,94,97,100,102,105,107,110,113,115, %U A026274 118,121,123,126,128,131,134,136,139,141,144,147,149,152,155,157,160 %N A026274 Fib00 numbers: those n for which the Zeckendorf expansion A014417(n) ends with two zeros. %Y A026274 Set-wise difference of A022342 - A035336. Union of A095097 & A035337. Cf. A095082 (fib00 primes). %K A026274 nonn %O A026274 0,1 %A A026274 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A095097 %S A095097 5,8,13,18,21,26,29,34,39,42,47,52,55,60,63,68,73,76,81,84,89,94,97, %T A095097 102,107,110,115,118,123,128,131,136,141,144,149,152,157,162,165,170, %U A095097 173,178,183,186,191,196,199,204,207,212,217,220,225,228,233,238,241 %N A095097 Fib000 numbers: those n for which the Zeckendorf expansion A014417(n) ends with three zeros. %Y A095097 Set-wise difference of A026274 - A035337. Cf. A095085 (fib000 primes). %K A095097 nonn %O A095097 0,1 %A A095097 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A095098 %S A095098 1,6,9,14,19,22,27,30,35,40,43,48,53,56,61,64,69,74,77,82,85,90,95,98, %T A095098 103,108,111,116,119,124,129,132,137,142,145,150,153,158,163,166,171, %U A095098 174,179,184,187,192,197,200,205,208,213,218,221,226,229,234,239,242 %N A095098 Fib001 numbers: those n for which the Zeckendorf expansion A014417(n) ends with two zeros and a final one. %Y A095098 Set-wise difference of A003622 - A095099. Cf. A095086 (fib001 primes). %K A095098 nonn %O A095098 0,2 %A A095098 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A035336 %S A035336 2,7,10,15,20,23,28,31,36,41,44,49,54,57,62,65,70,75,78,83,86,91,96, %T A035336 99,104,109,112,117,120,125,130,133,138,143,146,151,154,159,164,167, %U A035336 172,175,180,185,188,193,198,201,206,209,214,219,222,227,230,235,240 %N A035336 Fib010 numbers: those n for which the Zeckendorf expansion A014417(n) ends with zero, one, zero. %Y A035336 Set-wise difference of A022342 - A026274. Cf. A095087 (fib010 primes). %K A035336 nonn %O A035336 0,1 %A A035336 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A035337 %S A035337 3,11,16,24,32,37,45,50,58,66,71,79,87,92,100,105,113,121,126,134,139, %T A035337 147,155,160,168,176,181,189,194,202,210,215,223,231,236,244,249,257, %U A035337 265,270,278,283,291,299,304,312,320,325,333,338,346,354,359,367,372 %N A035337 Fib100 numbers: those n for which the Zeckendorf expansion A014417(n) ends with one and two final zeros. %Y A035337 Set-wise difference of A026274 - A095097. Cf. A095088 (fib100 primes). %K A035337 nonn %O A035337 0,1 %A A035337 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004 %I A095099 %S A095099 4,12,17,25,33,38,46,51,59,67,72,80,88,93,101,106,114,122,127,135,140, %T A095099 148,156,161,169,177,182,190,195,203,211,216,224,232,237,245,250,258, %U A095099 266,271,279,284,292,300,305,313,321,326,334,339,347,355,360,368,373 %N A095099 Fib101 numbers: those n for which the Zeckendorf expansion A014417(n) ends with one, zero, one. %Y A095099 Set-wise difference of A003622 - A095098. Cf. A095089 (fib101 primes). %K A095099 nonn %O A095099 0,1 %A A095099 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 31 2004