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A328777
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Product_{n>=1} (1 + x^n)^a(n) = 1 + Sum_{n>=1} x^prime(n).
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2
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0, 1, 1, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, -2, 0, 1, 3, -3, -1, -1, 4, -1, -1, -4, 6, 2, 2, -13, 4, 4, 13, -15, -5, -5, 30, -11, -7, -34, 42, 7, 16, -78, 27, 18, 95, -117, -21, -49, 223, -76, -40, -262, 326, 48, 135, -642, 242, 103, 752, -938, -105, -408, 1826, -732, -240
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OFFSET
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1,11
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COMMENTS
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Inverse weigh transform of A010051.
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LINKS
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MATHEMATICA
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b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, Sum[Binomial[a[i], j] b[n - i j, i - 1], {j, 0, n/i}]]]; a[n_] := a[n] = Boole[PrimeQ[n]] - b[n, n - 1]; Array[a, 65]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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