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A124103 C(2*n,n)*stirling2(2*n,n). 0
1, 2, 42, 1800, 119070, 10716300, 1223054448, 169298088960, 27564503362110, 5162247741608100, 1093309327729799180, 258387397153927593552, 67415162325326493328560, 19247023513381472754036000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

FORMULA

a(n) ~ 2^(4*n-1/2) * n^(n-1) / (Pi * sqrt(1-c) * exp(n) * (c*(2-c))^n), where c = -LambertW(-2*exp(-2)), see A226775 (= -c). - Vaclav Kotesovec, May 11 2014

MAPLE

a:=n->binomial(2*n, n)*stirling2(2*n, n): seq(a(n), n=0..16);

MATHEMATICA

Table[Binomial[2*n, n]*StirlingS2[2*n, n], {n, 0, 20}] (* Vaclav Kotesovec, May 11 2014 *)

CROSSREFS

Cf. A000984, A007820, A226775.

Sequence in context: A259550 A177456 A216029 * A235776 A216336 A152286

Adjacent sequences:  A124100 A124101 A124102 * A124104 A124105 A124106

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Nov 26 2006

STATUS

approved

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Last modified December 7 09:33 EST 2019. Contains 329843 sequences. (Running on oeis4.)