cp's OEIS Frontend

A212094 Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x^2+y^2+z^2.

%I A212094 #8 Dec 04 2016 19:46:29
%S A212094 0,0,1,5,22,60,135,256,452,736,1146,1701,2436,3388,4602,6101,7949,
%T A212094 10175,12849,16009,19728,24060,29058,34798,41363,48793,57202,66640,
%U A212094 77231,88992,102077,116512,132466,149984,169206,190205,213109,238015
%N A212094 Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x^2+y^2+z^2.
%C A212094 a(n)+A212093(n)=n^4.  For a guide to related sequences, see A211795.
%t A212094 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212094 (Do[If[w^2 > x^2 + y^2 + z^2, s = s + 1],
%t A212094 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212094 Map[t[#] &, Range[0, 50]] (* A212094 *)
%t A212094 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212094 Cf. A211795.
%K A212094 nonn
%O A212094 0,4
%A A212094 _Clark Kimberling_, May 02 2012