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A132441 Number of 3-noncrossing stack-free partial matching without 1-arcs. 2
1, 1, 2, 5, 12, 31, 88, 263, 814, 2604, 8575, 28936, 99726, 350151, 1249865 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

Emma Y. Jin and Christian M. Reidys. RNA-Lego: Combinatorial design of pseudoknot RNA, Bull. Math. Bio. 2007, submit

FORMULA

C_k(n,h)= sum_{b=0}^{h-1}(-1)^{h-b-1}{h-1 Choose b}{T}_k(h-2h+2b+2,b+1)

CROSSREFS

Sequence in context: A014329 A045633 A090826 * A000840 A162434 A039809

Adjacent sequences:  A132438 A132439 A132440 * A132442 A132443 A132444

KEYWORD

nonn

AUTHOR

Emma. Y. Jin (emma(AT)cfc.nankai.edu.cn), Nov 13 2007

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Last modified February 16 08:49 EST 2012. Contains 205893 sequences.