A192546 a(n) = sum(stirling2(n,k)*stirling2(n+1,k+1),k=0..n).

1, 1, 4, 26, 251, 3157, 50310, 978315, 22616102, 610543614, 18953178234, 668200802513, 26484030901784, 1169889631517219, 57168091338306720, 3070545537985858612, 180251920018830890897, 11507450028966272232867, 795397552661209049095698

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..52

Mathematica

Table[Sum[StirlingS2[n, k]StirlingS2[n+1, k+1], {k, 0, n}], {n, 0, 100}]
Total/@Table[StirlingS2[n, k]StirlingS2[n+1, k+1], {n, 0, 20}, {k, 0, n}] (* Harvey P. Dale, Dec 15 2023 *)

Prog

(Maxima) makelist(sum(stirling2(n, k)*stirling2(n+1, k+1), k, 0, n), n, 0, 24);

Crossrefs

Cf. A047793

Sequence in context: A090357 A322766 A160886 * A213438 A362112 A056786

Adjacent sequences: A192543 A192544 A192545 * A192547 A192548 A192549

Keyword

nonn

Author

Emanuele Munarini, Jul 04 2011

Status

approved