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A331978 E.g.f.: -log(2 - cosh(x)) (even powers only). 0
0, 1, 4, 46, 1114, 46246, 2933074, 263817646, 31943268634, 5009616448246, 987840438629794, 239217148602642046, 69790939492563608554, 24143849395162438623046, 9772368696995766705116914, 4575221153658910691872135246, 2453303387149157947685779986874 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(0) = 0; a(n) = A094088(n) - (1/n) * Sum_{k=1..n-1} binomial(2*n,2*k) * A094088(n-k) * k * a(k).

a(n) ~ (2*n)! / (n * log(2 + sqrt(3))^(2*n)). - Vaclav Kotesovec, Feb 07 2020

MATHEMATICA

nmax = 16; Table[(CoefficientList[Series[-Log[2 - Cosh[x]], {x, 0, 2 nmax}], x] Range[0, 2 nmax]!)[[n]], {n, 1, 2 nmax + 1, 2}]

CROSSREFS

Cf. A000111, A000182, A000629, A003703, A003704, A003707, A094088, A331611.

Sequence in context: A000657 A001623 A188634 * A210855 A324228 A002077

Adjacent sequences:  A331975 A331976 A331977 * A331979 A331980 A331981

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 03 2020

STATUS

approved

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Last modified January 21 01:45 EST 2022. Contains 350473 sequences. (Running on oeis4.)