OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Bell Polynomial.
Wikipedia, Touchard polynomials
FORMULA
a(0) = 0; a(n) = -n*a(n-1) + n^5.
E.g.f.: B_5(x) * exp(x) / (1+x), where B_n(x) = Bell polynomials.
PROG
(PARI) my(N=30, x='x+O('x^N)); concat(0, Vec(serlaplace(sum(k=0, 5, stirling(5, k, 2)*x^k)*exp(x)/(1+x))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jan 04 2024
STATUS
approved