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Search: id:A052613
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A052613 A simple regular expression in a labeled universe. +0
1
1, 0, 2, 6, 72, 720, 10080, 156240, 2822400, 56972160, 1280966400, 31654022400, 853580851200, 24932991283200, 784343085926400, 26435945023488000, 950417730662400000, 36304660098330624000, 1468365202287599616000 (list; graph; listen)
OFFSET

0,3

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 558

FORMULA

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

Recurrence: {a(1)=0, a(0)=1, a(2)=2, (n^3+6*n^2+11*n+6)*a(n)+(-n^2-5*n-6)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3)}

Sum(1/7*(-1+3*_alpha)*_alpha^(-1-n), _alpha=RootOf(_Z^3-_Z^2-2*_Z+1))*n!

MAPLE

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

CROSSREFS

Sequence in context: A000896 A103527 A152885 this_sequence A156493 A117515 A085865

Adjacent sequences: A052610 A052611 A052612 this_sequence A052614 A052615 A052616

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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