A211652 Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4<x^4+y^4.

0, 1, 7, 22, 50, 95, 161, 253, 374, 528, 721, 955, 1236, 1567, 1953, 2396, 2902, 3475, 4117, 4837, 5634, 6516, 7485, 8545, 9700, 10956, 12316, 13783, 15365, 17062, 18880, 20821, 22892, 25096, 27437, 29921, 32548, 35324, 38256, 41345

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^4 < x^4 + y^4, s = s + 1],
        {w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 50]] (* A211652 *)
(* Peter J. C. Moses, Apr 13 2012 *)

Crossrefs

Cf. A211422.

Sequence in context: A129109 A224141 A002412 * A211650 A211792 A211635

Adjacent sequences: A211649 A211650 A211651 * A211653 A211654 A211655

Keyword

nonn

Author

Clark Kimberling, Apr 19 2012

Status

approved