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A292617
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Convolution of number of partitions into distinct parts and Catalan numbers.
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3
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1, 2, 4, 10, 25, 70, 209, 656, 2137, 7155, 24447, 84864, 298374, 1060151, 3800365, 13727145, 49910870, 182522747, 670896855, 2477250003, 9184502747, 34177467134, 127606759053, 477890336663, 1794697782990, 6757164079051, 25501212956975, 96450275088260
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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) ~ c * 4^n / (sqrt(Pi) * n^(3/2)), where c = QPochhammer[-1, 1/4]/2 = 1.3559096738634793803455442348539593...
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MATHEMATICA
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Table[Sum[PartitionsQ[k]*CatalanNumber[n-k], {k, 0, n}], {n, 0, 50}]
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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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