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A341773
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Number of partitions of 2*n into exactly n nonzero tetrahedral numbers.
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1
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1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 3, 1, 0, 3, 1, 0, 3, 1, 0, 4, 2, 0, 4, 2, 0, 4, 3, 0, 5, 4, 1, 5, 4, 1, 5, 5, 1, 6, 6, 2, 6, 6, 2, 6, 7, 3, 7, 9, 4, 8, 9, 4, 8, 10, 5, 9, 12, 6, 10, 12, 7, 10, 13, 8, 12, 15, 10, 13, 16, 11, 13, 17, 12
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OFFSET
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0,10
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LINKS
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FORMULA
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G.f.: Product_{k>=0} 1 / (1 - x^(binomial(k+4,3)-1)).
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MATHEMATICA
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nmax = 80; CoefficientList[Series[Product[1/(1 - x^(Binomial[k + 4, 3] - 1)), {k, 0, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A000292, A024692, A062748, A068980, A298269, A319799, A338586, A341774, A341775, A341776, A341777, A341778.
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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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