The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A373875 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A373875

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

#9 by Michael De Vlieger at Thu Jun 20 11:08:46 EDT 2024

STATUS

reviewed

approved

#8 by Joerg Arndt at Thu Jun 20 10:56:29 EDT 2024

STATUS

proposed

reviewed

#7 by Seiichi Manyama at Thu Jun 20 10:05:11 EDT 2024

STATUS

editing

proposed

#6 by Seiichi Manyama at Thu Jun 20 03:45:38 EDT 2024

CROSSREFS

Cf. A220181, A373873, A373874.

#5 by Seiichi Manyama at Thu Jun 20 03:34:13 EDT 2024

PROG

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

#4 by Seiichi Manyama at Thu Jun 20 03:33:56 EDT 2024

FORMULA

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

#3 by Seiichi Manyama at Thu Jun 20 03:23:27 EDT 2024

CROSSREFS

Cf. A320096, A373855, A373870.

#2 by Seiichi Manyama at Thu Jun 20 03:21:23 EDT 2024

NAME

allocated for Seiichi Manyama

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

DATA

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

OFFSET

0,3

KEYWORD

allocated

nonn

AUTHOR

Seiichi Manyama, Jun 20 2024

STATUS

approved

editing

#1 by Seiichi Manyama at Thu Jun 20 03:21:23 EDT 2024

NAME

allocated for Seiichi Manyama

KEYWORD

allocated

STATUS

approved