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.

A350194 Numerators of a power series characterizing how powers of the cosine function converge to the Gaussian function.

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%I A350194 #15 Jul 09 2025 04:57:41
%S A350194 1,-1,1,1,-1,-19,79,11,-2339,-11813,677,2117,-308963,-64604977,
%T A350194 131301607,263101079,-5614643,-1768132943,46949081169401,
%U A350194 9606907803497,-10635113572583999,-158812278992229461,8131167478793551,9112944418860287,-40395223967437706149
%N A350194 Numerators of a power series characterizing how powers of the cosine function converge to the Gaussian function.
%C A350194 See A350154 for the denominators of this sequence of rational coefficients, as well as relevant comments, formulae, and examples.
%H A350194 David Broadhurst, <a href="/A241885/a241885.txt">Relations between A241885/A242225, A222411/A222412, and A350194/A350154.</a>
%F A350194 Theorem: A241885(n)/A242225(n) = n!*A222411(n)/(A222412(n)*(-1)^n/(1-2*n)) = n!*A350194(n)/(A350154(n)*(2*n+1)). - _David Broadhurst_, Apr 23 2022 (see Link).
%Y A350194 Cf. A350154.
%K A350194 frac,sign
%O A350194 0,6
%A A350194 _Robert B Fowler_, Dec 19 2021