[go: up one dir, main page]

login
A298936
Number of ordered ways of writing n^2 as a sum of n nonnegative cubes.
2
1, 1, 0, 6, 6, 20, 120, 7, 1689, 6636, 36540, 64020, 963996, 2894892, 19555965, 176079995, 955611188, 6684303780, 42462792168, 292378003753, 1886275214112, 13384059605364, 87399249887334, 624073002367892, 5080120229014734, 37587589611771480
OFFSET
0,4
FORMULA
a(n) = [x^(n^2)] (Sum_{k>=0} x^(k^3))^n.
EXAMPLE
a(3) = 6 because we have [8, 1, 0], [8, 0, 1], [1, 8, 0], [1, 0, 8], [0, 8, 1] and [0, 1, 8].
MAPLE
f:= n -> coeff(add(x^(k^3), k=0..floor(n^(2/3)))^n, x, n^2):
map(f, [$0..30]); # Robert Israel, Jan 29 2018
MATHEMATICA
Table[SeriesCoefficient[Sum[x^k^3, {k, 0, Floor[n^(2/3) + 1]}]^n, {x, 0, n^2}], {n, 0, 25}]
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 29 2018
STATUS
approved