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Search: id:A052986
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A052986 A simple regular expression. +0
1
1, 2, 7, 24, 85, 302, 1075, 3828, 13633, 48554, 172927, 615888, 2193517, 7812326, 27824011, 99096684, 352938073, 1257007586, 4476898903, 15944711880, 56787933445, 202253224094, 720335539171, 2565513065700, 9137210275441 (list; graph; listen)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1060

FORMULA

G.f.: (1-2*x)/(1-4*x+x^2+2*x^3)

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

Sum(-1/136*(-13-27*_alpha+6*_alpha^2)*_alpha^(-1-n), _alpha=RootOf(1-4*_Z+_Z^2+2*_Z^3))

MAPLE

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

CROSSREFS

Adjacent sequences: A052983 A052984 A052985 this_sequence A052987 A052988 A052989

Sequence in context: A020727 A088854 A000777 this_sequence A053368 A141753 A014300

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 06 2000

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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