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A086716
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Convolution of triangular numbers with partition numbers.
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2
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1, 5, 15, 36, 75, 143, 255, 433, 707, 1119, 1725, 2602, 3851, 5607, 8046, 11399, 15963, 22123, 30369, 41328, 55792, 74763, 99496, 131566, 172931, 226027, 293864, 380160, 489480, 627428
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OFFSET
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1,2
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COMMENTS
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Partial sum operator applied to partition numbers 4 times.
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LINKS
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FORMULA
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a(n) ~ 3*sqrt(n) * exp(Pi*sqrt(2*n/3)) / (sqrt(2)*Pi^3). - Vaclav Kotesovec, Jun 23 2015
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MATHEMATICA
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Table[Sum[PartitionsP[k]*(n-k+1)*(n-k+2)/2, {k, 1, n}], {n, 1, 50}] (* Vaclav Kotesovec, Jun 23 2015 *)
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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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