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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 August 24 22:39 EDT 2019. Contains 326314 sequences. (Running on oeis4.)