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Search: id:A097632
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A097632 2^n * Lucas(n). +0
1
2, 12, 64, 672, 8448, 138240, 2672640, 60641280, 1568931840, 45705461760, 1478924697600, 52646746521600, 2044394156851200, 86005817907609600, 3896481847600742400, 189139342470414336000, 9793081532749971456000 (list; graph; listen)
OFFSET

1,1

COMMENT

Number of possible well-colored cycles on n nodes. Well-colored means, each green vertex has at least a red child, each red vertex has no red child.

LINKS

C. Banderier, J.-M. Le Bars and V. Ravelomanana, Generating functions for kernels of digraphs

FORMULA

E.g.f.: -log(1-2x-4x^2). Contrary to b(n) = 2^n*Fib(n), there seems to be no rational o.g.f. for the sequence.

CROSSREFS

Equals A000079(n) * A000204(n).

Sequence in context: A052896 A025599 A126737 this_sequence A076804 A039633 A020062

Adjacent sequences: A097629 A097630 A097631 this_sequence A097633 A097634 A097635

KEYWORD

nonn

AUTHOR

Ralf Stephan, Aug 17 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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