OFFSET
0,4
FORMULA
E.g.f.: exp( -LambertW(-log(1+2*x)/2) ).
a(n) = Sum_{k=0..n} 2^(n-k) * (k+1)^(k-1) * Stirling1(n,k).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-log(1+2*x)/2))))
(PARI) a(n) = sum(k=0, n, 2^(n-k)*(k+1)^(k-1)*stirling(n, k, 1));
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jul 17 2022
STATUS
approved