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A111420 a(n) = Sum_{q=0..n} Stirling2(n+1,q)^2*q!. 3
0, 1, 19, 315, 6601, 178923, 6161065, 262268499, 13470911521, 818285112123, 57836073876505, 4693152951066099, 432360761046527041, 44794795435021490043, 5176959026638375267225, 662704551819559746282579, 93384393940399990403502241, 14406589076081640590750974203 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

MAPLE

a:= n-> add(Stirling2(n+1, q)^2*q!, q=0..n):

seq(a(n), n=0..19);  # Alois P. Heinz, May 11 2020

MATHEMATICA

Table[Sum[StirlingS2[n+1, k]^2 * k!, {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jul 12 2018 *)

CROSSREFS

Cf. A023997, A014235.

Sequence in context: A142430 A180845 A138943 * A166965 A137352 A027541

Adjacent sequences:  A111417 A111418 A111419 * A111421 A111422 A111423

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 14 2005

STATUS

approved

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Last modified May 26 20:51 EDT 2022. Contains 354092 sequences. (Running on oeis4.)