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Search: id:A052532
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A052532 A simple regular expression. +0
1
1, 0, 0, 1, 2, 1, 2, 5, 7, 8, 14, 24, 34, 49, 79, 123, 182, 276, 429, 655, 990, 1513, 2321, 3537, 5385, 8229, 12574, 19175, 29252, 44670, 68190, 104043, 158790, 242398, 369961, 564604, 861749, 1315318, 2007485, 3063877, 4676340, 7137394, 10893438 (list; graph; listen)
OFFSET

0,5

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 462

FORMULA

G.f.: -(-1+x)/(1-x-x^4+x^5-x^3)

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

Sum(1/8519*(138+2003*_alpha-346*_alpha^2-444*_alpha^3+11*_alpha^4)*_alpha^(-1-n), _alpha=RootOf(1-_Z-_Z^4+_Z^5-_Z^3))

MAPLE

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

CROSSREFS

Sequence in context: A047991 A120898 A153910 this_sequence A006704 A006702 A129394

Adjacent sequences: A052529 A052530 A052531 this_sequence A052533 A052534 A052535

KEYWORD

easy,nonn

AUTHOR

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

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 05 2000

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


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