OFFSET
0,3
COMMENTS
a(43) is negative. - Vaclav Kotesovec, Jul 15 2022
FORMULA
a(0) = 1; a(n) = Sum_{k=1..n} A108125(k) * binomial(n-1,k-1) * a(n-k).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x/(1-log(1+x)))))
(PARI) a006252(n) = sum(k=0, n, k!*stirling(n, k, 1));
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*a006252(j-1)*binomial(i-1, j-1)*v[i-j+1])); v;
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jul 15 2022
STATUS
approved