Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #8 Feb 23 2022 10:17:12
%S 1,1,2,9,42,235,1605,12446,108836,1061565,11402565,133806134,
%T 1703059974,23366177055,343788954691,5399655967642,90173526680152,
%U 1595513146457993,29817130502252169,586883850601630054,12135450890055396810,263012688923611212107,5962155058714267567319
%N Expansion of e.g.f. 1 / (1 - x)^cosh(x).
%F a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * |A009416(k)| * a(n-k).
%F a(n) ~ n! * n^(cosh(1)-1) / Gamma(cosh(1)). - _Vaclav Kotesovec_, Feb 23 2022
%t nmax = 22; CoefficientList[Series[1/(1 - x)^Cosh[x], {x, 0, nmax}], x] Range[0, nmax]!
%o (PARI) my(x='x+O('x^30)); Vec(serlaplace(1/(1-x)^cosh(x))) \\ _Michel Marcus_, Feb 23 2022
%Y Cf. A009193, A009231, A009416, A191365, A351880.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Feb 23 2022