OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..floor(n/2)} ((n-2*k+2)/2)^k/k!.
MAPLE
A375633 := proc(n)
n!*add(((n-2*k+2)/2)^k/k!, k=0..floor(n/2)) ;
end proc:
seq(A375633(n), n=0..60) ; # R. J. Mathar, Aug 23 2024
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x^2)/(1-x*exp(x^2/2))))
(PARI) a(n) = n!*sum(k=0, n\2, ((n-2*k+2)/2)^k/k!);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 22 2024
STATUS
approved