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A009198 E.g.f. exp(log(1+x)/exp(x)). 1
1, 1, -2, 0, 18, -85, 155, 1057, -13636, 86361, -271783, -1518539, 35743378, -376883351, 2663534939, -8383983593, -117620643336, 2907896789457, -39364767602331, 389671721253889, -2504052803057234, -3842812946739679, 465976686530941599 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n)=sum(k=1..n, sum(i=k..n, binomial(n,i)*(stirling1(i,k)*k^(n-i)*(-1)^(n-i)))), n > 0, a(0)=1. - Vladimir Kruchinin, Jun 29 2011

PROG

(Maxima)

a(n):=if n=0 then 1 else sum(sum(binomial(n, i)*(stirling1(i, k)*k^(n-i)*(-1)^(n-i)), i, k, n), k, 1, n); /* Vladimir Kruchinin, Jun 29 2011 */

CROSSREFS

Sequence in context: A152154 A324665 A261516 * A209123 A139003 A264881

Adjacent sequences:  A009195 A009196 A009197 * A009199 A009200 A009201

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved

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Last modified February 24 12:18 EST 2021. Contains 341569 sequences. (Running on oeis4.)