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A212065 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x*y*z.

%I A212065 #10 Dec 04 2016 19:46:29
%S A212065 0,1,12,57,185,459,974,1830,3168,5158,7957,11766,16830,23378,31689,
%T A212065 42041,54774,70218,88757,110720,136558,166715,201620,241761,287646,
%U A212065 339854,398829,465198,539557,622513,714762,816892,929637,1053742
%N A212065 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x*y*z.
%C A212065 a(n)+A212066(n)=n^4.  For a guide to related sequences, see A211795.
%t A212065 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212065 (Do[If[w^2 <= x*y*z, s = s + 1],
%t A212065 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212065 Map[t[#] &, Range[0, 50]] (* A212065 *)
%t A212065 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212065 Cf. A211795.
%K A212065 nonn
%O A212065 0,3
%A A212065 _Clark Kimberling_, Apr 30 2012