A237993 - OEIS

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A237993

a(n) = Abs(StirlingS1(3*n,n)).

1, 2, 274, 118124, 105258076, 159721605680, 369012649234384, 1206647803780373360, 5304713715525445812976, 30180059720580991603896800, 215760462268683520394805979744, 1893448925578239663637174767335168, 20012008248418194052035539503977759232

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

FORMULA

a(n) ~ n^(2*n) * c^(3*n) * 3^(5*n) / (sqrt(6*Pi*(c-1)*n) * exp(2*n) * (3*c-1)^(2*n)), where c = -LambertW(-1,-exp(-1/3)/3) = 2.237147027773716818...

MAPLE

seq(abs(Stirling1(3*n, n)), n=0..20);

MATHEMATICA

Table[Abs[StirlingS1[3*n, n]], {n, 0, 20}]

CROSSREFS