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A097876
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Number of ways to partition n into sums of squares of nonprimes.
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0
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15
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OFFSET
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0,17
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LINKS
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EXAMPLE
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a(36)=4 because 36={36 ones}, {16 ones, 16}, {7 ones, 25} & {16, 16}.
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MATHEMATICA
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nonprime[n_] := FixedPoint[n + PrimePi[ # ] &, n + PrimePi[n]]; CoefficientList[ Series[ Product[1/(1 - x^nonprime[i]^2), {i, 111}], {x, 0, 101}], x]
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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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