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Number of 3-noncrossing stack-free partial matchings without 1-arcs.
2

%I #9 Feb 17 2019 09:21:42

%S 1,1,2,5,12,31,88,263,814,2604,8575,28936,99726,350151,1249865

%N Number of 3-noncrossing stack-free partial matchings without 1-arcs.

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

%H Emma Y. Jin and Christian M. Reidys, <a href="http://arxiv.org/abs/0711.1405">RNA-LEGO: Combinatorial Design of Pseudoknot RNA</a>, arXiv:0711.1405 [q-bio.BM], 2007.

%F 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).

%K nonn

%O 1,3

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