OFFSET
0,4
FORMULA
E.g.f.: (1/x) * Series_Reversion( x*(1 - x^2)^x ).
a(n) = n! * Sum_{k=0..floor(n/2)} (n+1)^(n-2*k-1) * |Stirling1(k,n-2*k)|/k!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x^2)^x)/x))
(PARI) a(n) = n!*sum(k=0, n\2, (n+1)^(n-2*k-1)*abs(stirling(k, n-2*k, 1))/k!);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 21 2024
STATUS
approved