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A236834 Numbers that do not occur as results of "downward" remultiplication (N -> GF(2)[X]) of any number; numbers not present in A234741. 13

%I #21 Mar 13 2014 14:26:02

%S 25,50,55,87,91,100,110,115,117,133,143,145,159,171,174,182,185,200,

%T 203,213,220,230,234,237,247,249,253,266,267,279,285,286,290,299,301,

%U 318,319,321,333,339,342,345,348,351,355,357,361,364,369,370,375,385,391,395,400

%N Numbers that do not occur as results of "downward" remultiplication (N -> GF(2)[X]) of any number; numbers not present in A234741.

%C Numbers that do not occur in A234741 (A236841).

%C This is a subsequence of A236838, thus all terms are GF(2)[X]-multiples of some of the terms of A091214. (Cf. also A236844).

%C a(5)=91 is the first term that does not occur in A236849. On the other hand, A236849(4)=75, is the first term in the latter which does not occur here.

%H Antti Karttunen, <a href="/A236834/b236834.txt">Table of n, a(n) for n = 1..2525</a>

%o (Scheme, with Antti Karttunen's IntSeq-library, two variants)

%o (define A236834 (ZERO-POS 1 0 A236833))

%o (define A236834 (ZERO-POS 1 0 A236861))

%Y Complement: A236841. This sequence is a setwise difference of A236838 and A236839.

%Y A091214 is a subsequence.

%Y Positions of zeros in A236833, A236836, A236837 and A236861

%Y Cf. also A236844, A234741, A236835.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jan 31 2014

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)