Cheers,

this should be added to http://www.research.att.com/~njas/sequences/Sindx_Con.html


<STRONG>congruent products between domains N and GF(2)[X] , sequences defined by <a NAME="CongruCrossDomain">(start):</a> (Here * stands for ordinary multiplication (A004247), and X means carryless GF(2)[X] multiplication (A048720))</STRONG>

congruent products between domains N and GF(2)[X],  3*n = 3Xn (A003714), 3*n = 7Xn (A048717), 3*n = 7Xn and 5*n = 5Xn (A048719)
congruent products between domains N and GF(2)[X],  5*n = 5Xn (A048716), 7*n = 7Xn (A048715), 7*n = 11Xn (A115770)
congruent products between domains N and GF(2)[X],  9*n = 9Xn (A115845), 9*n = 25Xn (A115801), 9*n = 25Xn, but 17*n is not 49Xn (A115811)
congruent products between domains N and GF(2)[X], 11*n = 11Xn, 13*n = 13Xn, 15*n = 15Xn (A048718) 
congruent products between domains N and GF(2)[X], 11*n = 31Xn (A115803), 13*n = 21Xn (A115772), 13*n = 29Xn (A115805)
congruent products between domains N and GF(2)[X], 15*n = 23Xn (A115774), 15*n = 27Xn (A115807), 17*n = 17Xn (A115847)
congruent products between domains N and GF(2)[X], 17*n = 49Xn (A115809), 21*n = 21Xn (A115422), 31*n = 31Xn (A115423)
congruent products between domains N and GF(2)[X], 63*n = 63Xn (A115424)
congruent products between domains N and GF(2)[X]: see also <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">congruent products under XOR</a>

<STRONG>congruent products under XOR , sequences defined by <a NAME="CongruXOR">(start):</a></STRONG>
congruent products under XOR,  3*n = 2*n XOR n (A003714), 5*n = 4*n XOR n (A048716), 5*n = 3*n XOR 2*n (A115767)
congruent products under XOR,  7*n = 6*n XOR n (A048715), 7*n = 5*n XOR 2*n (A115813), 7*n = 4*n XOR 3*n (A048715)
congruent products under XOR,  9*n = 8*n XOR 1 (A115845), 9*n = 7*n XOR 2*n (A115815)
congruent products under XOR, 11*n = 10*n XOR n (A115793), 11*n = 9*n XOR 2*n (A115795), 11*n = 8*n XOR 3*n (A115797)
congruent products under XOR, 11*n = 7*n XOR 4*n (A115799), 11*n = 6*n XOR 5*n (A115827), 15*n = 14*n XOR n (A048718)
congruent products under XOR, 17*n = 16*n XOR n (A115847), 17*n = 13*n XOR 4*n (A115817), 19*n = 15*n XOR 4*n (A115819)
congruent products under XOR, 21*n = 20*n XOR n (A115422), 21*n = 15*n XOR 6*n (A115821), 21*n = 11*n XOR 10*n (A115829)
congruent products under XOR, 23*n = 13*n XOR 8*n (A115823), 25*n = 16*n XOR 9*n (A115831), 33*n = 17*n XOR 16*n (A115833)
congruent products under XOR, 31*n = 30*n XOR n (A115423), 63*n = 62*n XOR n (A115424)
congruent products under XOR: see also <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">congruent products between domains N and GF(2)[X]</a>