A373875 - OEIS

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A373875

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

3

0, 1, 3, 32, 802, 36854, 2698598, 288450168, 42388536888, 8198703649296, 2019226648157472, 616991110153816848, 229048514514263311008, 101540936651344709359632, 52984383824921037875927760, 32145394332240602286960456192

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..15.

FORMULA

E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k^2.

PROG

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

CROSSREFS

Cf. A320096, A373855, A373870.

Cf. A220181, A373873, A373874.

Sequence in context: A373857 A297558 A283716 * A352019 A374574 A355084

Adjacent sequences: A373872 A373873 A373874 * A373876 A373877 A373878

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 20 2024

STATUS

approved