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%I #5 Dec 04 2016 19:46:30
%S 0,1,9,45,145,351,729,1345,2307,3702,5650,8271,11736,16174,21774,
%T 28719,37210,47457,59703,74170,91116,110796,133498,159525,189246,
%U 222880,260835,303465,351103,404109,462969,527992,599664,678387,764656
%N Number of (w,x,y,z) with all terms in {1,...,n} and w >= (geometric mean of x,y,z).
%C A212142(n)+A212141(n)=n^4. For a guide to related sequences, see A211795.
%t t = Compile[{{n, _Integer}}, Module[{s = 0},
%t (Do[If[w^3 >= x*y*z, s = s + 1],
%t {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t Map[t[#] &, Range[0, 50]] (* A212142 geometric mean *)
%t (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y Cf. A211795.
%K nonn
%O 0,3
%A _Clark Kimberling_, May 06 2012
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