OFFSET
0,3
FORMULA
a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k) * A003724(k) * a(n-k).
a(n) ~ n! / (2 * sqrt(1 + log(2)^2) * (log(log(2) + sqrt(1 + log(2)^2)))^(n+1)). - Vaclav Kotesovec, Feb 08 2020
MATHEMATICA
nmax = 20; CoefficientList[Series[1/(2 - Exp[Sinh[x]]), {x, 0, nmax}], x] Range[0, nmax]!
PROG
(PARI) seq(n)={Vec(serlaplace(1/(2 - exp(sinh(x + O(x*x^n))))))} \\ Andrew Howroyd, Feb 08 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 08 2020
STATUS
approved