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A211635
Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2<x^2+y^2.
3
0, 1, 7, 22, 51, 97, 166, 263, 391, 554, 756, 1004, 1303, 1653, 2061, 2530, 3068, 3677, 4362, 5126, 5973, 6912, 7942, 9071, 10304, 11640, 13087, 14649, 16333, 18142, 20078, 22150, 24357, 26707, 29202, 31845, 34649, 37610, 40739, 44031
OFFSET
0,3
COMMENTS
For a guide to related sequences, see A211422.
MATHEMATICA
t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[w^2 < x^2 + y^2, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 50]] (* A211635 *)
(* Peter J. C. Moses, Apr 13 2012 *)
CROSSREFS
Cf. A211422.
Sequence in context: A211652 A211650 A211792 * A211634 A184629 A041215
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 18 2012
STATUS
approved