A211210 a(n) = Sum_{k=0..n} binomial(n, k)*|S1(n, k)|.

1, 1, 3, 16, 115, 1021, 10696, 128472, 1734447, 25937683, 424852351, 7554471156, 144767131444, 2971727661124, 65013102375404, 1509186299410896, 37032678328740751, 957376811266995031, 25999194631060525009, 739741591417352081464, 22000132609456951524051

Offset

0,3

Comments

Binomial convolution of the unsigned Stirling numbers of the first kind.

Row sums of triangle A187555.

Links

Table of n, a(n) for n=0..20.

Mathematica

Table[Sum[Binomial[n, k] Abs[StirlingS1[n, k]], {k, 0, n}], {n, 0, 20}]

Prog

(PARI) a(n) = sum(k=0, n, binomial(n, k)*abs(stirling(n, k, 1))); \\ Michel Marcus, May 10 2021

Crossrefs

Cf. A317274 (signed S1), A187555, A134090, A211211.

Cf. A122455 (second kind), A271702, A134094, A343841 (second kind inverse).

Sequence in context: A324514 A334786 A159606 * A177402 A036244 A011818

Adjacent sequences: A211207 A211208 A211209 * A211211 A211212 A211213

Keyword

nonn

Author

Olivier Gérard, Oct 23 2012

Status

approved