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A301971
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a(n) = [x^n] Product_{k>=1} 1/(1 - x^prime(k))^n.
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1
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1, 0, 2, 3, 10, 30, 77, 252, 682, 2136, 6182, 18766, 56173, 169351, 512990, 1551828, 4720170, 14348289, 43751984, 133502873, 408029510, 1248460587, 3823949824, 11724787763, 35980251181, 110510334780, 339674840715, 1044812449722, 3215861978150, 9904301974294, 30521063942312, 94103983534015
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OFFSET
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0,3
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COMMENTS
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Number of partitions of n into prime parts of n kinds.
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LINKS
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MATHEMATICA
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Table[SeriesCoefficient[Product[1/(1 - x^Prime[k])^n, {k, 1, n}], {x, 0, n}], {n, 0, 31}]
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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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