OFFSET
0,3
FORMULA
a(0) = 1; a(n) = -Sum_{k=1..n} A052862(k) * binomial(n-1,k-1) * a(n-k).
a(n) ~ -n! / (Gamma(1 - log(2)) * 2^(-log(2)) * n^(log(2) + 1) * log(2)^(n - log(2) - 1)). - Vaclav Kotesovec, Jun 08 2022
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((2-exp(x))^x))
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-sum(j=1, i, j*sum(k=1, j-1, (k-1)!*stirling(j-1, k, 2))*binomial(i-1, j-1)*v[i-j+1])); v;
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, May 26 2022
STATUS
approved