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 A187647 Partial sums of the central Stirling numbers of the second kind. 1
 1, 2, 9, 99, 1800, 44325, 1367977, 50697257, 2192461310, 108367857065, 6025952821720, 372308453692006, 25302513044450266, 1875871087298000326, 150658859151673309726, 13030526931922299349726, 1207492044401730133131811 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..49 FORMULA a(n) = sum_{k=0..n} A048993(2*k,k). a(n+1)-a(n) = A007820(n+1). a(n) ~ n^n * 2^(2*n) / (sqrt(2*Pi*(1-c)*n) * exp(n) * (2-c)^n * c^n), where c = -LambertW(-2*exp(-2)). - Vaclav Kotesovec, May 11 2014 MAPLE seq(sum(combinat[stirling2](2*k, k), k=0..n), n=0..12); MATHEMATICA Table[Sum[StirlingS2[2k, k], {k, 0, n}], {n, 0, 16}] PROG (Maxima) makelist(sum(stirling2(2*k, k), k, 0, n), n, 0, 12); CROSSREFS Cf. A007820, A226775. Sequence in context: A237929 A227258 A027686 * A322645 A277180 A013520 Adjacent sequences:  A187644 A187645 A187646 * A187648 A187649 A187650 KEYWORD nonn,easy AUTHOR Emanuele Munarini, Mar 12 2011 STATUS approved

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Last modified June 24 19:42 EDT 2021. Contains 345425 sequences. (Running on oeis4.)