OFFSET
0,4
FORMULA
a(n) = (n!/(n+1)) * Sum_{k=0..floor(n/2)} k^(n-2*k) * binomial(n+1,k)/(2^k * (n-2*k)!).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1+x^2/2*exp(x)))/x))
(PARI) a(n) = n!*sum(k=0, n\2, k^(n-2*k)*binomial(n+1, k)/(2^k*(n-2*k)!))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 08 2024
STATUS
approved