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A091540 Rescaled second column A091539 of array A091534 ((5,2)-Stirling2). 2
1, 13, 184, 3040, 58360, 1283800, 31917760, 886123840, 27192323200, 914387689600, 33446228569600, 1322364153510400, 56203860301388800, 2555756347720576000, 123819357959385088000, 6367367706293321728000 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

A certain difference of two triple factorial sequences.

If offset 0: exponential (also called binomial) convolution of A091541 and A051606.

LINKS

Table of n, a(n) for n=2..17.

FORMULA

a(n)= (5*2/fac3(3*n-1))*A091539(n), n>=2, with fac3(3*n-1) := A008544(n) (triple factorials).

E.g.f.: (1-2*x-(1-3*x)^(2/3))/(2*(1-3*x))= (1/2-x+int((1-3*x)^(-1/3), x))/(1-3*x).

E.g.f. with offset 0: (3-2*(1-3*x)^(2/3))/(1-3*x)^3.

a(n)=(fac3(3*n) - 3*fac3(3*n-2))/3! with fac3(3*n) := A032031(n)= n!*3^n and fac3(3*n-2) := A007559(n).

CROSSREFS

Cf. A091541.

Sequence in context: A268413 A274345 A227503 * A057799 A057801 A094736

Adjacent sequences:  A091537 A091538 A091539 * A091541 A091542 A091543

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 13 2004

STATUS

approved

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Last modified February 17 23:47 EST 2018. Contains 299297 sequences. (Running on oeis4.)