OFFSET
0,6
FORMULA
G.f.: Sum_{k>=0} (-x)^k * Product_{j=0..k-1} (j - x^2).
MAPLE
A357919 := proc(n)
add(stirling1(n-2*k, k), k=0..n/3) ;
end proc:
seq(A357919(n), n=0..70) ; # R. J. Mathar, Mar 13 2023
PROG
(PARI) a(n) = sum(k=0, n\3, stirling(n-2*k, k, 1));
(PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, (-x)^k*prod(j=0, k-1, j-x^2)))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 20 2022
STATUS
approved