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A023429 Generalized Catalan Numbers. +0
1
1, 1, 1, 1, 1, 1, 1, 2, 4, 7, 11, 17, 27, 44, 73, 122, 204, 340, 566, 945, 1586, 2674, 4521, 7656, 12982, 22047, 37509, 63934, 109166, 186685, 319679, 548091, 940819, 1616830, 2781706 (list; graph; listen)
OFFSET

0,8

MATHEMATICA

Clear[ a ]; a[ 0 ]=1; a[ n_Integer ] := a[ n ]=a[ n-1 ]+Sum[ a[ k ]*a[ n-4-k ], {k, 3, n-4} ];

CROSSREFS

Cf. A000108, A001006, A004148, A006318.

Sequence in context: A006999 A005252 A023430 this_sequence A023428 A093911 A152398

Adjacent sequences: A023426 A023427 A023428 this_sequence A023430 A023431 A023432

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.


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