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A343579 a(n) = Sum_{k=0..n/2} |Stirling1(n - k, k)|. 0
1, 0, 1, 1, 3, 9, 36, 176, 1030, 7039, 55098, 486346, 4780445, 51787405, 613045468, 7873065045, 109021348618, 1619197654575, 25675094145535, 432908683794379, 7733991639921585, 145933532935469016, 2900112108790279902, 60543749629794205640, 1324677739541613767983 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Equals antidiagonal sums of the triangle of unsigned Stirling numbers of the first kind (A132393).

LINKS

Table of n, a(n) for n=0..24.

PROG

(PARI) a(n) = sum(k=0, n\2, abs(stirling(n-k, k, 1))); \\ Michel Marcus, Apr 22 2021

CROSSREFS

Cf. A132393, A320963.

Variant: A237653.

Sequence in context: A032314 A144352 A107895 * A237653 A070960 A030834

Adjacent sequences:  A343576 A343577 A343578 * A343580 A343581 A343582

KEYWORD

nonn

AUTHOR

Peter Luschny, Apr 20 2021

STATUS

approved

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Last modified July 27 13:36 EDT 2021. Contains 346306 sequences. (Running on oeis4.)