cp's OEIS Frontend

A212092 Number of (w,x,y,z) with all terms in {1,...,n} and w^2

%I A212092 #12 Dec 04 2016 19:46:29
%S A212092 0,1,15,73,231,562,1155,2133,3632,5801,8830,12907,18264,25131,33766,
%T A212092 44461,57524,73274,92043,114213,140173,170289,205057,244884,290251,
%U A212092 341658,399594,464582,537200,618046,707665,806727,915828,1035607
%N A212092 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x^2+y^2+z^2.
%C A212092 a(n)+A212095(n)=n^4.
%C A212092 For a guide to related sequences, see A211795.
%t A212092 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212092 (Do[If[w^2 < x^2 + y^2 + z^2, s = s + 1],
%t A212092 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212092 Map[t[#] &, Range[0, 50]] (* A212092 *)
%t A212092 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212092 Cf. A211795.
%K A212092 nonn
%O A212092 0,3
%A A212092 _Clark Kimberling_, May 02 2012