A374710 Number of distinct sums i^3 + j^3 + k^3 for 0<=i<=j<=k<=n.

1, 4, 10, 20, 35, 56, 82, 117, 162, 215, 279, 352, 426, 528, 645, 772, 899, 1057, 1235, 1429, 1647, 1883, 2133, 2415, 2694, 3022, 3374, 3721, 4130, 4564, 5011, 5503, 5986, 6531, 7045, 7664, 8273, 8945, 9659, 10383, 11127, 11949, 12809, 13713, 14649, 15633, 16644, 17715, 18735, 19916

Offset

0,2

Links

Table of n, a(n) for n=0..49.

Prog

(PARI) a(n) = my(v=vector(3*n^3+1)); for(i=0, n, for(j=i, n, for(k=j, n, v[i^3+j^3+k^3+1]+=1))); sum(i=1, #v, v[i]>0);

Crossrefs

Cf. A374707, A374711.

Cf. A034966.

Sequence in context: A138778 A301244 A038409 * A347252 A201722 A352208

Adjacent sequences: A374707 A374708 A374709 * A374711 A374712 A374713

Keyword

nonn

Author

Seiichi Manyama, Jul 17 2024

Status

approved