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A347572
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Number of partitions of n into 5 or more distinct parts.
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5
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1, 1, 2, 3, 5, 7, 11, 14, 20, 26, 35, 44, 58, 72, 91, 112, 139, 168, 206, 246, 297, 353, 420, 494, 584, 682, 798, 927, 1077, 1243, 1437, 1649, 1894, 2166, 2475, 2817, 3207, 3636, 4121, 4658, 5261, 5926, 6673, 7494, 8412, 9425, 10550, 11788, 13166, 14677, 16352
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OFFSET
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15,3
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LINKS
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FORMULA
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G.f.: Sum_{k>=5} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
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MATHEMATICA
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nmax = 65; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 5, nmax}], {x, 0, nmax}], x] // Drop[#, 15] &
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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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