A212099 Number of (w,x,y,z) with all terms in {1,...,n} and w^3>x^3+y^3+z^3.

0, 0, 1, 9, 35, 89, 192, 367, 645, 1047, 1620, 2395, 3414, 4749, 6435, 8518, 11079, 14171, 17876, 22272, 27409, 33396, 40290, 48249, 57265, 67548, 79146, 92127, 106708, 122880, 140876, 160757, 182694, 206791, 233160, 262032, 293445

Offset: 0

Author

Clark Kimberling, May 03 2012

Keywords

• nonn

Comments

a(n)+A212098(n)=n^4. For a guide to related sequences, see A211795.

Links

• Giovanni Resta, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A211795, A212098.

Programs

Mathematica

t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[w^3 > x^3 + y^3 + z^3, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 40]] (* A212099 *)
(* Peter J. C. Moses, Apr 13 2012 *)