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Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4>x^4+y^4.
2

%I #5 Dec 04 2016 19:46:28

%S 0,0,1,5,14,30,55,90,138,201,279,376,492,630,791,979,1194,1438,1715,

%T 2022,2366,2745,3163,3622,4124,4669,5260,5900,6587,7327,8120,8970,

%U 9876,10841,11867,12954,14108,15329,16616,17974,19405,20907,22486

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

%C For a guide to related sequences, see A211422.

%t t = Compile[{{n, _Integer}}, Module[{s = 0},

%t (Do[If[w^4 > x^4 + y^4, s = s + 1],

%t {w, 1, #}, {x, 1, #}, {y, 1, #}] &[n]; s)]];

%t Map[t[#] &, Range[0, 50]] (* A211653 *)

%t (* _Peter J. C. Moses_, Apr 13 2012 *)

%Y Cf. A211422.

%K nonn

%O 0,4

%A _Clark Kimberling_, Apr 19 2012