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A179853 E.g.f. A(x) = Sum_{n>=0} a(n)*x^(3n)/(3n)!. 0
1, 6, 1080, 967680, 2494800000, 14122883174400, 149450965100236800, 2657377766797737984000, 73600830148552343949312000, 3000680514334863360000000000000, 172357905733383653098084542873600000, 13469219468410593291134233865512550400000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

Vladimir Kruchinin, D. V. Kruchinin, Composita and their properties, arXiv:1103.2582

FORMULA

a(n) = (n+1)^(n-1)*(3*n)!/n!.

E.g.f. A(x) satisfies A(x) = Sum_{n>=0} a(n)*x^(3*n)/(3n)!

This is the special case m=3 of the following:

The e.g.f. A(x) = Sum_{n>=0} a(n)*x^(m*n)/(m*n)! satisfies A(x) = exp(x^m*A(x))

(and the corresponding terms are a(n) = (n+1)^(n-1)*(m*n)!/n!).

MATHEMATICA

Table[(n+1)^(n-1)(3n)!/n!, {n, 0, 20}] (* From Harvey P. Dale, Oct 19 2011 *)

PROG

(PARI)

a(n) = (n+1)^(n-1)*(3*n)!/n!;

for(n=0, 30, print1(a(n), ", "));

CROSSREFS

Sequence in context: A282233 A125536 A003763 * A268043 A190351 A267071

Adjacent sequences:  A179850 A179851 A179852 * A179854 A179855 A179856

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Jan 11 2011

EXTENSIONS

More terms from Harvey P. Dale, Oct 19 2011

STATUS

approved

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Last modified September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)