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A298671
Number of ordered ways of writing n^3 as a sum of n nonnegative cubes.
10
1, 1, 2, 3, 4, 5, 146, 4207, 26329, 257721, 3556495, 42685181, 631230381, 9409600499, 142557084957, 2781352245050, 52598395446786, 950288577530017, 20768368026768594, 448759012546543804, 9652848877533217174, 235179507693424886403, 5756272592837812726164, 140920987987840184113287
OFFSET
0,3
FORMULA
a(n) = [x^(n^3)] (Sum_{k>=0} x^(k^3))^n.
EXAMPLE
a(3) = 3 because we have [27, 0, 0], [0, 27, 0] and [0, 0, 27].
MATHEMATICA
Table[SeriesCoefficient[Sum[x^k^3, {k, 0, n}]^n, {x, 0, n^3}], {n, 0, 23}]
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 24 2018
STATUS
approved