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A052784 A simple grammar. +0
1
0, 0, 0, 0, 0, 0, 720, 7560, 50400, 272160, 1300320, 5738040, 23958000, 96061680, 373477104, 1417295880, 5274360000, 19313985600, 69770966976, 249130574424, 880629138000 (list; graph; listen)
OFFSET

0,7

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 741

FORMULA

E.g.f.: x^3*exp(x)^3-3*x^3*exp(x)^2+3*x^3*exp(x)-x^3

Recurrence: {a(1)=0, a(2)=0, a(4)=0, a(3)=0, a(5)=0, a(6)=720, (-36*n^2-66*n-6*n^3-36)*a(n)+(-44*n+11*n^3+33*n^2-132)*a(n+1)+(-6*n^3-36+42*n)*a(n+2)+(-3*n^2+n^3+2*n)*a(n+3)}

MAPLE

spec := [S, {B=Set(Z, 1 <= card), S=Prod(Z, Z, Z, B, B, B)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);

CROSSREFS

Sequence in context: A153760 A029574 A119540 this_sequence A052786 A052792 A052790

Adjacent sequences: A052781 A052782 A052783 this_sequence A052785 A052786 A052787

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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