A381064 Expansion of e.g.f. log(1-x)^2 * exp(-x) / 2.

0, 0, 1, 0, 5, 15, 94, 595, 4458, 37590, 354051, 3682646, 41935695, 518954293, 6935360496, 99553094537, 1527716784020, 24959724735564, 432572721886437, 7926615468800172, 153129657663788761, 3110514839038091643, 66278515188844197218, 1478222957082474301887

Offset

0,5

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,2)|.

Prog

(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 2, 1)));

Crossrefs

Column k=2 of A269953.

Cf. A300490, A381021.

Sequence in context: A184438 A134135 A292279 * A268565 A358197 A121869

Adjacent sequences: A381059 A381061 A381062 * A381065 A381066 A381067

Keyword

nonn,new

Author

Seiichi Manyama, Feb 12 2025

Status

approved