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1, 2, 4, 14, 42, 168, 696, 2841, 11421, 50317, 218277, 923709, 4043889, 17416089, 76253769, 338014584, 1469460024, 6395962044, 28367342244, 123799554504, 543903261384, 2403339554904, 10545287718864, 46223487538464, 203591793511992, 893988182518176, 3924601439423256
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ 2^(2*n) * exp(Pi*sqrt(n/3)) / (3^(5/4) * sqrt(Pi) * n^(9/4)).
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MATHEMATICA
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Table[Sum[CatalanNumber[k]*PartitionsQ[k], {k, 0, n}], {n, 0, 30}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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