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

1, -1, 1, 1, -1, -19, 79, 11, -2339, -11813, 677, 2117, -308963, -64604977, 131301607, 263101079, -5614643, -1768132943, 46949081169401, 9606907803497, -10635113572583999, -158812278992229461, 8131167478793551, 9112944418860287, -40395223967437706149

Offset

0,6

Comments

See A350154 for the denominators of this sequence of rational coefficients, as well as relevant comments, formulae, and examples.

Links

Table of n, a(n) for n=0..24.

David Broadhurst, Relations between A241885/A242225, A222411/A222412, and A350194/A350154.

Formula

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).

Crossrefs

Cf. A350154.

Sequence in context: A041698 A041700 A213832 * A132234 A074822 A139871

Adjacent sequences: A350191 A350192 A350193 * A350195 A350196 A350197

Keyword

frac,sign

Author

Robert B Fowler, Dec 19 2021.

Status

approved