A211635 Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2<x^2+y^2.

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.

Links

Table of n, a(n) for n=0..39.

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

Adjacent sequences: A211632 A211633 A211634 * A211636 A211637 A211638

Keyword

nonn

Author

Clark Kimberling, Apr 18 2012

Status

approved