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Search: id:A052644
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A052644 A simple regular expression in a labeled universe. +0
1
1, 5, 12, 42, 192, 1080, 7200, 55440, 483840, 4717440, 50803200, 598752000, 7664025600, 105859353600, 1569209241600, 24845812992000, 418455797760000, 7469435990016000, 140852221526016000 (list; graph; listen)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 590

FORMULA

E.g.f.: -(-3*x+3*x^2-1)/(-1+x)^2

Recurrence: {a(0)=1, a(1)=5, (-n^2-6*n-5)*a(n)+(n+4)*a(n+1), a(2)=12}

(n+4)*n!

MAPLE

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

CROSSREFS

Sequence in context: A120779 A082189 A129795 this_sequence A052280 A006078 A046612

Adjacent sequences: A052641 A052642 A052643 this_sequence A052645 A052646 A052647

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 20 16:45 EST 2009. Contains 171081 sequences.


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