OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..589
FORMULA
a(n) = Sum_{m=0..n} (-1)^m * A193685(n,m), n>=0.
E.g.f.: exp(-exp(x)+5*x+1).
a(n) = exp(1) * Sum_{k>=0} (-1)^k * (k + 5)^n / k!. - Ilya Gutkovskiy, Dec 20 2019
a(0) = 1; a(n) = 5 * a(n-1) - Sum_{k=0..n-1} binomial(n-1,k) * a(k). - Seiichi Manyama, Aug 02 2021
EXAMPLE
a(2) = 25 - 11 + 1 = 15.
PROG
(PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(-exp(x)+5*x+1))) \\ Michel Marcus, Aug 02 2021
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang, Oct 07 2011
STATUS
approved