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A004998 6^n/n!*product(k=0..n-1, 6*k + 11 ). 0
1, 66, 3366, 154836, 6735366, 282885372, 11598300252, 467245810152, 18573020953542, 730538824172652, 28491014142733428, 1103379274982221848, 42480102086815541148, 1627314679941087653208 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

A(x) = (1 - 36*x)^(-11/6).

a(n) ~ 6/5*Gamma(5/6)^-1*n^(5/6)*6^(2*n)*{1 + 55/72*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

MATHEMATICA

CoefficientList[Series[(1-36x)^(-11/6), {x, 0, 20}], x] (* or *) Table[(36^(n-1) Pochhammer[11/6, n-1])/Gamma[n], {n, 20}] (* Harvey P. Dale, Jul 24 2011 *)

CROSSREFS

Sequence in context: A138875 A138877 A265454 * A239409 A295592 A097316

Adjacent sequences:  A004995 A004996 A004997 * A004999 A005000 A005001

KEYWORD

nonn

AUTHOR

Joe Keane (jgk(AT)jgk.org)

STATUS

approved

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Last modified February 16 21:59 EST 2019. Contains 320200 sequences. (Running on oeis4.)