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Search: id:A052660
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A052660 A simple regular expression in a labeled universe. +0
1
2, 2, 6, 24, 144, 1080, 10080, 110880, 1411200, 20321280, 326592000, 5787936000, 112086374400, 2353813862400, 53265935923200, 1291982275584000, 33434618241024000, 919452001628160000 (list; graph; listen)
OFFSET

0,1

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 607

FORMULA

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

Recurrence: {a(1)=2, a(2)=6, a(0)=2, (n^3+6*n^2+11*n+6)*a(n)+(-2*n-6)*a(n+2)+a(n+3)}

(1+Sum(1/5*(1+2*_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z+_Z^2)))*n!

MAPLE

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

CROSSREFS

Sequence in context: A069466 A076741 A093453 this_sequence A135407 A076726 A032272

Adjacent sequences: A052657 A052658 A052659 this_sequence A052661 A052662 A052663

KEYWORD

easy,nonn

AUTHOR

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

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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