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

LINKS

Table of n, a(n) for n=1..15.

Emma Y. Jin and Christian M. Reidys, RNA-LEGO: Combinatorial Design of Pseudoknot RNA, arXiv:0711.1405 [q-bio.BM], 2007.

FORMULA

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).

CROSSREFS

Sequence in context: A014329 A045633 A090826 * A000840 A232215 A265265

Adjacent sequences:  A132438 A132439 A132440 * A132442 A132443 A132444

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 17 12:30 EDT 2022. Contains 356189 sequences. (Running on oeis4.)