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Search: id:A026004
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A026004 a(n) = T(3n+1,n), where T = Catalan triangle (A008315). +0
5
1, 3, 14, 75, 429, 2548, 15504, 95931, 600875, 3798795, 24192090, 154969620, 997490844, 6446369400, 41802112192, 271861216539, 1772528290407, 11582393855305, 75831424919250, 497337483739635, 3266814940064445 (list; graph; listen)
OFFSET

0,2

COMMENT

Number of standard tableaux of shape (2n+1,n). Example: a(1)=3 because in the top row we can have 134, 124, or 123 (but not 234). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 23 2004

Number of noncrossing forests with n+2 vertices and two components. - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 31 2004

REFERENCES

P. Flajolet and M. Noy, Analytic combinatorics of noncrossing configurations, Discrete Math. 204 (1999), 203-229.

FORMULA

(n+2)/(2n+2) * C(3n+1, n). - R. Stephan, Apr 30 2004

CROSSREFS

Cf. A045722.

Adjacent sequences: A026001 A026002 A026003 this_sequence A026005 A026006 A026007

Sequence in context: A080238 A074549 A126122 this_sequence A063016 A133798 A100937

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

EXTENSIONS

More terms from R. Stephan, Apr 30 2004

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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