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A025756 3rd order Vatalan numbers (generalization of Catalan numbers). +0
2
1, 1, 4, 22, 139, 949, 6808, 50548, 384916, 2988418, 23559826, 188061592, 1516680130, 12337999870, 101111413540, 833914857316, 6916004156083, 57638242134229, 482444724374734, 4053815358183454, 34181335453533439 (list; graph; listen)
OFFSET

0,3

LINKS

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

FORMULA

G.f.: ${3\over {2+\root 3 \of {1-9x}}}$

CROSSREFS

a(n), n >= 1, = row sums of triangle A048966.

Sequence in context: A091638 A142984 A097593 this_sequence A002293 A003287 A077056

Adjacent sequences: A025753 A025754 A025755 this_sequence A025757 A025758 A025759

KEYWORD

nonn

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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


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