cp's OEIS Frontend

A212093 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x^2+y^2+z^2.

%I A212093 #8 Dec 04 2016 19:46:29
%S A212093 0,1,15,76,234,565,1161,2145,3644,5825,8854,12940,18300,25173,33814,
%T A212093 44524,57587,73346,92127,114312,140272,170421,205198,245043,290413,
%U A212093 341832,399774,464801,537425,618289,707923,807009,916110,1035937
%N A212093 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x^2+y^2+z^2.
%C A212093 a(n)+A212094(n)=n^4.  For a guide to related sequences, see A211795.
%t A212093 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212093 (Do[If[w^2 <= x^2 + y^2 + z^2, s = s + 1],
%t A212093 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212093 Map[t[#] &, Range[0, 50]] (* A212093 *)
%t A212093 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212093 Cf. A211795.
%K A212093 nonn
%O A212093 0,3
%A A212093 _Clark Kimberling_, May 02 2012