A212087 Number of (w,x,y,z) with all terms in {1,...,n} and w^2+x^2=y^2+z^2.

0, 1, 6, 15, 28, 45, 66, 95, 132, 173, 210, 267, 320, 385, 458, 523, 600, 693, 786, 899, 1000, 1109, 1226, 1367, 1492, 1629, 1778, 1931, 2084, 2269, 2426, 2615, 2812, 3013, 3222, 3427, 3624, 3857, 4094, 4335, 4564, 4841, 5082, 5379, 5656, 5913

Offset

0,3

Comments

For a guide to related sequences, see A211795.

Links

Table of n, a(n) for n=0..45.

Mathematica

t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[w^2 + x^2 == y^2 + z^2, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 60]] (* A212087 *)
(* Peter J. C. Moses, Apr 13 2012 *)

Crossrefs

Cf. A211795.

Sequence in context: A096892 A000384 A164000 * A301292 A359696 A134978

Adjacent sequences: A212084 A212085 A212086 * A212088 A212089 A212090

Keyword

nonn

Author

Clark Kimberling, May 02 2012

Status

approved