OFFSET
0,74
LINKS
FORMULA
a(n) = [x^n y^10] Product_{k>=1} 1/(1 - y*x^(k^3)). - Ilya Gutkovskiy, Apr 23 2019
MAPLE
b:= proc(n, i, t) option remember; `if`(n=0, `if`(t=0, 1, 0),
`if`(i<1 or t<1, 0, b(n, i-1, t)+
`if`(i^3>n, 0, b(n-i^3, i, t-1))))
end:
a:= n-> b(n, iroot(n, 3), 10):
seq(a(n), n=0..120); # Alois P. Heinz, Dec 21 2018
MATHEMATICA
b[n_, i_, t_] := b[n, i, t] = If[n == 0, If[t == 0, 1, 0], If[i < 1 || t < 1, 0, b[n, i - 1, t] + If[i^3 > n, 0, b[n - i^3, i, t - 1]]]];
a[n_] := b[n, n^(1/3) // Floor, 10];
a /@ Range[0, 120] (* Jean-François Alcover, Dec 04 2020, after Alois P. Heinz *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved