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Search: id:A052572
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A052572 A simple regular expression in a labeled universe. +0
2
1, 4, 10, 36, 168, 960, 6480, 50400, 443520, 4354560, 47174400, 558835200, 7185024000, 99632332800, 1482030950400, 23538138624000, 397533007872000, 7113748561920000, 134449847820288000, 2676192208994304000 (list; graph; listen)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 515

FORMULA

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

Recurrence: {a(0)=1, a(1)=4, a(2)=10, (-n^2-5*n-4)*a(n)+(n+3)*a(n+1)}

(n+3)*n!

MAPLE

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

CROSSREFS

Essentially twice A038720.

Sequence in context: A149184 A149185 A149186 this_sequence A079725 A154152 A025237

Adjacent sequences: A052569 A052570 A052571 this_sequence A052573 A052574 A052575

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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