A236845 Numbers that occur in more than one way as results of "upward" remultiplication (GF(2)[X] -> N) of some number.

91, 117, 143, 171, 182, 234, 247, 273, 286, 333, 342, 351, 361, 364, 369, 429, 451, 468, 471, 494, 501, 513, 539, 546, 572, 609, 637, 666, 675, 684, 687, 702, 721, 722, 728, 738, 741, 803, 819, 847, 858, 902, 936, 942, 949, 957, 981, 988, 999, 1001, 1002, 1026, 1053, 1078, 1083, 1092, 1107, 1125

Offset: 1

Author

Antti Karttunen, Jan 31 2014

Keywords

• nonn

Comments

Numbers that occur more than once in A234742.

Those terms that encode an irreducible polynomial in ring GF(2)[X] with their binary representation (that is, those that are in A014580) seem to occur also all in A091214 (that is, are a subsequence of the latter).

If n is a term, then 2n is also a term.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..5636

Crossrefs

Positions of terms larger than one in A236853.

Cf. A236844, A091214, A014580.

Cf. also A236835.