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URL: https://oeis.org/A383050

⇱ A383050 - OEIS

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A383050
a(n) = Sum_{k=0..n} (k+1)^6 * Stirling1(n,k).
1
1, 64, 665, 2037, -1316, -1148, 16400, -116032, 809592, -6059424, 49512792, -442266888, 4302605280, -45351578400, 515054655360, -6268075470720, 81309027784320, -1118525784929280, 16235659302272640, -247395991797912960, 3936073920965890560, -64988868076072657920
OFFSET
0,2
COMMENTS
Inverse Stirling transform of (n+1)^6.
LINKS
Christian G. Bower, PARI programs for transforms, 2007.
N. J. A. Sloane, Maple programs for transforms, 2001-2020.
FORMULA
E.g.f.: Sum_{k>=0} (k+1)^6 * log(1+x)^k / k!.
E.g.f.: (1+x) * Sum_{k=0..6} Stirling2(7,k+1) * log(1+x)^k.
PROG
(PARI) a(n) = sum(k=0, n, (k+1)^6*stirling(n, k, 1));
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k+1)^6*log(1+x)^k/k!)))
CROSSREFS
Column k=6 of A383049.
Sequence in context: A269080 A221509 A283337 * A187620 A119287 A318023
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 14 2025
STATUS
approved