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A344640 Antidiagonal sums of A344639. 2
1, 2, 5, 16, 63, 297, 1649, 10641, 78823, 662315, 6241889, 65294039, 751035233, 9420926879, 127958645921, 1870319380463, 29263787708393, 487891616911031, 8632986776222945, 161555987833199807, 3187606376603319017, 66128414623822131863, 1438861202348688524897, 32763278185929878499887 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..448

FORMULA

a(n) = Sum_{k=0..n} Sum_{m=0..n-k} abs(S1(n-k, m))*(m + 1)^k, where S1 indicates the signed Stirling numbers of first kind.

Conjecture: a(n) ~ n!. - Vaclav Kotesovec, May 26 2021

MATHEMATICA

Table[Sum[Sum[Abs[StirlingS1[n-k, m]](m+1)^k, {m, 0, n-k}], {k, 0, n}], {n, 0, 23}]

CROSSREFS

Cf. A000254, A081048, A344639.

Sequence in context: A022494 A136127 A111004 * A345673 A079566 A059685

Adjacent sequences:  A344637 A344638 A344639 * A344641 A344642 A344643

KEYWORD

nonn

AUTHOR

Stefano Spezia, May 25 2021

STATUS

approved

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Last modified October 18 03:25 EDT 2021. Contains 348065 sequences. (Running on oeis4.)