cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A374364 Expansion of e.g.f. exp( x - Sum_{k>=1} x^(2^k)/2^k ).

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%I A374364 #17 Jul 07 2024 13:51:54
%S A374364 1,1,0,-2,-8,-24,16,400,-3072,-38528,-18944,1287936,17843200,
%T A374364 149045248,-188786688,-12007184384,-1265929355264,-20275964313600,
%U A374364 3871935889408,2355175169523712,45658709327609856,565591105847689216,-1448855443865600000
%N A374364 Expansion of e.g.f. exp( x - Sum_{k>=1} x^(2^k)/2^k ).
%H A374364 Seiichi Manyama, <a href="/A374364/b374364.txt">Table of n, a(n) for n = 0..200</a>
%F A374364 E.g.f.: Product_{k>=1} (1 + x^(2*k-1))^(mu(2*k-1)/(2*k-1)), where mu() is the Moebius function.
%o A374364 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x-sum(k=1, ceil(log(N+1)/log(2)), x^2^k/2^k))))
%Y A374364 Cf. A005388, A008683, A117209, A293604.
%K A374364 sign
%O A374364 0,4
%A A374364 _Seiichi Manyama_, Jul 06 2024