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 A192546 a(n) = sum(stirling2(n,k)*stirling2(n+1,k+1),k=0..n). 1
 1, 1, 4, 26, 251, 3157, 50310, 978315, 22616102, 610543614, 18953178234, 668200802513, 26484030901784, 1169889631517219, 57168091338306720, 3070545537985858612, 180251920018830890897, 11507450028966272232867, 795397552661209049095698 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 29 03:48 EDT 2024. Contains 372921 sequences. (Running on oeis4.)