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A280865
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Expansion of 1/(1 - Sum_{k>=0} x^((2*k+1)^3)).
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1
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 33, 37, 42, 48, 55, 63, 72, 82, 93, 105, 118, 132, 147, 163, 180, 198, 217, 237, 258, 280, 303, 327, 352, 378, 405, 433, 463, 496
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OFFSET
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0,28
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COMMENTS
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Number of compositions (ordered partitions) of n into odd cubes (A016755).
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LINKS
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FORMULA
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G.f.: 1/(1 - Sum_{k>=0} x^((2*k+1)^3)).
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EXAMPLE
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a(28) = 3 because we have [27, 1], [1, 27] and [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].
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MATHEMATICA
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nmax = 82; CoefficientList[Series[1/(1 - Sum[x^(2 k + 1)^3, {k, 0, nmax}]), {x, 0, nmax}], 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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