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A023433 Generalized Catalan Numbers. +0
1
1, 1, 1, 1, 1, 2, 4, 7, 12, 21, 38, 70, 129, 238, 442, 827, 1556, 2939, 5570, 10593, 20214, 38690, 74251, 142844, 275430, 532215, 1030440, 1998733, 3883552, 7557865, 14730670 (list; graph; listen)
OFFSET

0,6

MATHEMATICA

Clear[ a ]; a[ 0 ]=1; a[ n_Integer ] := a[ n ]=a[ n-1 ]+Sum[ a[ k ]*a[ n-3-k ], {k, 2, n-3} ];

CROSSREFS

Cf. A000108, A001006, A004148, A006318.

Sequence in context: A103197 A000709 A054161 this_sequence A005126 A054151 A018176

Adjacent sequences: A023430 A023431 A023432 this_sequence A023434 A023435 A023436

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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