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Search: id:A013698
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A013698 C(3n+2,n-1). +0
8
1, 8, 55, 364, 2380, 15504, 100947, 657800, 4292145, 28048800, 183579396, 1203322288, 7898654920, 51915526432, 341643774795, 2250829575120, 14844575908435, 97997533741800, 647520696018735, 4282083008118300 (list; graph; listen)
OFFSET

1,2

COMMENT

Degree of variety K_{2,n}^1. Also number of double-rises (or odd-level peaks) in all generalized {(1,2),(1,-1)}-Dyck paths of length 3(n+1).

Number of dissections of a convex (2n+2)-gon by n-2 noncrossing diagonals into (2j+2)-gons, 1<=j<=n-1.

REFERENCES

M. S. Ravi et al., Dynamic pole assignment ..., SIAM J. Control Optimization, 34 (1996), 813-832, esp. p. 825.

CROSSREFS

Cf. A013699 (q=2), A013700 (q=3), A013701 (q=4), A013702 (q=5).

A column of triangle A102537.

Sequence in context: A116885 A026994 A110184 this_sequence A154245 A143420 A075734

Adjacent sequences: A013695 A013696 A013697 this_sequence A013699 A013700 A013701

KEYWORD

nonn,easy

AUTHOR

Joachim.Rosenthal(AT)nd.edu (Joachim Rosenthal), Emeric Deutsch (deutsch(AT)duke.poly.edu)

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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