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Numbers that do not occur as results of "upward" remultiplication (GF(2)[X] -> N) of any number; numbers not present in A234742.
13

%I #20 Mar 13 2014 14:26:59

%S 5,10,15,17,20,23,29,30,34,35,40,43,45,46,51,53,58,60,65,68,69,70,71,

%T 79,80,83,85,86,89,90,92,95,101,102,105,106,107,113,116,119,120,125,

%U 127,129,130,135,136,138,139,140,142,149,151,153,155,158,159,160,161

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

%C Numbers that do not occur in A234742 (A236842).

%C 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).

%C 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.

%H Antti Karttunen, <a href="/A236844/b236844.txt">Table of n, a(n) for n = 1..19282</a>

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

%o (Scheme, with _Antti Karttunen_'s IntSeq-library, two variants)

%o (define A236844 (ZERO-POS 1 0 A236853))

%o (define A236844 (ZERO-POS 1 0 A236862))

%Y Complement: A236842.

%Y A setwise difference of A236848 and A236849.

%Y A091209 is a subsequence.

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

%Y Cf. A236845.

%Y Cf. also A236834.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jan 31 2014