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A303169 a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=0} x^(k^3))^n. 2
1, 2, 6, 30, 241, 2093, 23059, 276056, 3657901, 51751598, 792918670, 13031054778, 228632547574, 4247832219975, 83138970732860, 1710953260292025, 36844216654753387, 827664913984323748, 19363023028132371129, 470436686367280495474, 11843579175327033093769 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of nonnegative solutions to (x_1)^3 + (x_2)^3 + ... + (x_n)^3 <= n^3.

LINKS

Table of n, a(n) for n=0..20.

Index entries for sequences related to sums of cubes

MATHEMATICA

Table[SeriesCoefficient[1/(1 - x) Sum[x^k^3, {k, 0, n}]^n, {x, 0, n^3}], {n, 0, 20}]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 19 2018

STATUS

approved

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Last modified April 15 18:51 EDT 2021. Contains 342977 sequences. (Running on oeis4.)