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A132441
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Number of 3-noncrossing stack-free partial matchings without 1-arcs.
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2
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1, 1, 2, 5, 12, 31, 88, 263, 814, 2604, 8575, 28936, 99726, 350151, 1249865
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OFFSET
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1,3
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REFERENCES
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Emma Y. Jin and Christian M. Reidys. RNA-Lego: Combinatorial design of pseudoknot RNA, Bull. Math. Bio. 2007, submit
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LINKS
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FORMULA
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C_k(n,h) = Sum_{b=0..h-1} (-1)^(h-b-1)*(binomial(h-1, b)*{T}_k(h-2h+2b+2,b+1).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Emma. Y. Jin (emma(AT)cfc.nankai.edu.cn), Nov 13 2007
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STATUS
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approved
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