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A131638 Increasing binary trees having exactly two vertices with outdegree 1. +0
1
1, 11, 180, 4288 (list; graph; listen)
OFFSET

1,2

REFERENCES

M. P. Develin and S. P. Sullivant, Markov Bases of Binary Graph Models, Annals of Combinatorics 7 (2003) 441-466.

C. Poupard, Deux proprietes des arbres binaires ordonnes stricts, European J. Combin., 10 (1989), 369-374.

FORMULA

E.G.F. =$frac 12(3(\sec frac x{\sqrt{2}})^2(tan frac x{\sqrt{2}})^2-frac x{\sqrt{2}}\ (\sec frac x{\sqrt{2}})^2(tan frac x{\sqrt{2}}))\ $

CROSSREFS

Sequence in context: A101791 A140034 A162715 this_sequence A157382 A157945 A106907

Adjacent sequences: A131635 A131636 A131637 this_sequence A131639 A131640 A131641

KEYWORD

nonn

AUTHOR

Wenjin W. (wjwoan(AT)hotmail.com), Oct 03 2007

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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