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A212100
Number of (w,x,y,z) with all terms in {1,...,n} and w^3>=x^3+y^3+z^3.
3
0, 0, 1, 9, 35, 89, 198, 373, 651, 1059, 1632, 2407, 3432, 4767, 6453, 8536, 11097, 14189, 17906, 22308, 27451, 33438, 40332, 48291, 57313, 67602, 79200, 92187, 106774, 122952, 140954, 160835, 182772, 206869, 233238, 262110, 293535
OFFSET
0,4
COMMENTS
a(n)+A212097(n)=n^4. For a guide to related sequences, see A211795.
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]] (* A212100 *)
(* Peter J. C. Moses, Apr 13 2012 *)
CROSSREFS
Cf. A211795.
Sequence in context: A022275 A071398 A212099 * A005898 A034957 A180082
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 03 2012
STATUS
approved