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A304824
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Convolution of central binomial coefficients and partition numbers.
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1
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1, 3, 10, 33, 113, 397, 1431, 5249, 19514, 73260, 277100, 1054248, 4029859, 15463765, 59531725, 229816430, 889301153, 3448417251, 13396337155, 52126461984, 203124067675, 792559645912, 3096104725974, 12107810534937, 47395948167885, 185697860476576
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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) ~ 4^n / (QPochhammer[1/4] * sqrt(Pi*n)).
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MATHEMATICA
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Table[Sum[PartitionsP[n-k]*Binomial[2*k, k], {k, 0, n}], {n, 0, 25}]
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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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