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A052505 Number of labeled 3-constrained functional graphs. 0
1, 3, 300, 141120, 182952000, 505008504000, 2547446533632000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 38

FORMULA

E.g.f.: -2/(-2+x*RootOf(-6*_Z+6*x+x*_Z^3)^2)

Recurrence: {a(1)=0, (-9*n^4-54*n^3-117*n^2-108*n-36)*a(n)+(8*n+12)*a(n+3), a(2)=0, a(4)=0, a(3)=3, a(5)=0}

MAPLE

spec := [S, {g=Union(Z, Prod(Z, Set(g, card=3))), S=Set(Cycle(Prod(Z, Set(g, card=2))))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);

CROSSREFS

Sequence in context: A119059 A119049 A119067 * A071525 A157583 A085319

Adjacent sequences:  A052502 A052503 A052504 * A052506 A052507 A052508

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 14 08:58 EST 2012. Contains 205614 sequences.