A211653 Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4>x^4+y^4.

0, 0, 1, 5, 14, 30, 55, 90, 138, 201, 279, 376, 492, 630, 791, 979, 1194, 1438, 1715, 2022, 2366, 2745, 3163, 3622, 4124, 4669, 5260, 5900, 6587, 7327, 8120, 8970, 9876, 10841, 11867, 12954, 14108, 15329, 16616, 17974, 19405, 20907, 22486

Offset

0,4

Comments

For a guide to related sequences, see A211422.

Links

Table of n, a(n) for n=0..42.

Mathematica

t = Compile[{{n, _Integer}}, Module[{s = 0},
    (Do[If[w^4 > x^4 + y^4, s = s + 1],
        {w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 50]]    (* A211653 *)
(* Peter J. C. Moses, Apr 13 2012 *)

Crossrefs

Cf. A211422.

Sequence in context: A053461 A136135 A231673 * A096893 A231677 A231681

Adjacent sequences: A211650 A211651 A211652 * A211654 A211655 A211656

Keyword

nonn

Author

Clark Kimberling, Apr 19 2012

Status

approved