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A033552
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Number of partitions into Catalan numbers.
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3
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1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 17, 19, 22, 24, 27, 30, 34, 37, 41, 44, 49, 53, 58, 62, 68, 73, 80, 85, 92, 98, 106, 113, 121, 128, 137, 145, 155, 163, 175, 184, 197, 207, 220, 232, 246, 259, 274, 287, 304, 318, 336, 351, 371, 388, 409, 427, 449, 469
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 0..250 [From Reinhard Zumkeller, Apr 09 2010]
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FORMULA
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G.f.: product(1/(1-x^binomial(2*n, n)/(n+1)), n, 1, inf)
a(n) = f(n,1,1) with f(m,k,c) = if c>m then 0^m else f(m-c,k,c) + f(m,k+1,2*c*(2*k+1)/(k+2)). [From Reinhard Zumkeller, Apr 09 2010]
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CROSSREFS
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Cf. A000108.
Cf. A176137. [From Reinhard Zumkeller, Apr 09 2010]
Sequence in context: A017885 A011874 A000115 * A062420 A089197 A017874
Adjacent sequences: A033549 A033550 A033551 * A033553 A033554 A033555
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KEYWORD
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easy,nonn
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AUTHOR
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Marc LeBrun
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STATUS
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approved
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