A236844 Numbers that do not occur as results of "upward" remultiplication (GF(2)[X] -> N) of any number; numbers not present in A234742.

5, 10, 15, 17, 20, 23, 29, 30, 34, 35, 40, 43, 45, 46, 51, 53, 58, 60, 65, 68, 69, 70, 71, 79, 80, 83, 85, 86, 89, 90, 92, 95, 101, 102, 105, 106, 107, 113, 116, 119, 120, 125, 127, 129, 130, 135, 136, 138, 139, 140, 142, 149, 151, 153, 155, 158, 159, 160, 161

Offset

1,1

Comments

Numbers that do not occur in A234742 (A236842).

This is a subsequence of A236848, thus all terms are divisible by at least one such prime which is reducible as polynomial over GF(2) (i.e. one of the primes in A091209).

A236835(7)=27 is the first member of A236835 which does not occur here. a(12)=43 is the first term here which does not occur in A236835.

Links

Antti Karttunen, Table of n, a(n) for n = 1..19282

Formula

For all n, A236379(a(n)) > 0.

Prog

(Scheme, with Antti Karttunen's IntSeq-library, two variants)
(define A236844 (ZERO-POS 1 0 A236853))
(define A236844 (ZERO-POS 1 0 A236862))

Crossrefs

Complement: A236842.

A setwise difference of A236848 and A236849.

A091209 is a subsequence.

Positions of zeros in A236853, A236846, A236847 and A236862.

Cf. A236845.

Cf. also A236834.

Sequence in context: A313668 A236848 A236835 * A271468 A313669 A353167

Adjacent sequences: A236841 A236842 A236843 * A236845 A236846 A236847

Keyword

nonn

Author

Antti Karttunen, Jan 31 2014

Status

approved