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Search: id:A052791
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A052791 A simple grammar. +0
1
0, 0, 0, 6, 72, 540, 3240, 17010, 81648, 367416, 1574640, 6495390, 25981560, 101328084, 386889048, 1450833930, 5356925280, 19514513520, 70252248672, 250273635894, 883318714920 (list; graph; listen)
OFFSET

0,4

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 748

FORMULA

E.g.f.: x^3*exp(x)^3

Recurrence: {a(1)=0, a(2)=0, a(3)=6, (-3*n-3)*a(n)+(-2+n)*a(n+1)}

0

3^(n-3)*n(n-1)(n-2).

a(n) = n!*sum(i+j+k=n, ijk/(i!j!k!)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 11 2004

MAPLE

spec := [S, {B=Set(Z), S=Prod(Z, Z, Z, B, B, B)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);

CROSSREFS

Sequence in context: A005981 A024272 A052615 this_sequence A129532 A151719 A118313

Adjacent sequences: A052788 A052789 A052790 this_sequence A052792 A052793 A052794

KEYWORD

easy,nonn

AUTHOR

encyclopedia(AT)pommard.inria.fr, Jan 25 2000

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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