A235035 Numbers n for which A234742(n) = n: numbers n whose binary representation encodes a GF(2)[X]-polynomial such that when its irreducible factors are multiplied together as ordinary integers (with carry-bits), the result is n.

0, 1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16, 19, 22, 24, 25, 26, 28, 31, 32, 37, 38, 41, 44, 47, 48, 50, 52, 55, 56, 59, 61, 62, 64, 67, 73, 74, 76, 82, 87, 88, 91, 94, 96, 97, 100, 103, 104, 109, 110, 111, 112, 115, 117, 118, 122, 123, 124, 128, 131, 134, 137

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences operating on (or containing) GF(2)[X]-polynomials

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A235035 (MATCHING-POS 1 0 (lambda (n) (or (zero? n) (= n (reduce * 1 (GF2Xfactor n)))))))

Crossrefs

Gives the positions of zeros in A236379, i.e., n such that A234742(n) = n.

An intersection with A235034 gives A235032. Contains A014580 as a subsequence.

Cf. A235036, A235032-A235033, A234742.

Sequence in context: A328592 A175413 A192048 * A235045 A235032 A242925

Adjacent sequences: A235032 A235033 A235034 * A235036 A235037 A235038

Keyword

nonn

Author

Antti Karttunen, Jan 02 2014

Status

approved