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A303169
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a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=0} x^(k^3))^n.
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2
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1, 2, 6, 30, 241, 2093, 23059, 276056, 3657901, 51751598, 792918670, 13031054778, 228632547574, 4247832219975, 83138970732860, 1710953260292025, 36844216654753387, 827664913984323748, 19363023028132371129, 470436686367280495474, 11843579175327033093769
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OFFSET
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0,2
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COMMENTS
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Number of nonnegative solutions to (x_1)^3 + (x_2)^3 + ... + (x_n)^3 <= n^3.
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LINKS
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Table of n, a(n) for n=0..20.
Index entries for sequences related to sums of cubes
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MATHEMATICA
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Table[SeriesCoefficient[1/(1 - x) Sum[x^k^3, {k, 0, n}]^n, {x, 0, n^3}], {n, 0, 20}]
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CROSSREFS
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Main diagonal of A303484.
Cf. A000578, A010052, A224214, A224215, A290054, A298671, A302863.
Sequence in context: A306782 A106209 A003266 * A097385 A066068 A121406
Adjacent sequences: A303166 A303167 A303168 * A303170 A303171 A303172
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Apr 19 2018
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STATUS
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approved
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