A212065 - OEIS

%I #10 Dec 04 2016 19:46:29

%S 0,1,12,57,185,459,974,1830,3168,5158,7957,11766,16830,23378,31689,

%T 42041,54774,70218,88757,110720,136558,166715,201620,241761,287646,

%U 339854,398829,465198,539557,622513,714762,816892,929637,1053742

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

%C a(n)+A212066(n)=n^4.  For a guide to related sequences, see A211795.

%t t = Compile[{{n, _Integer}}, Module[{s = 0},

%t (Do[If[w^2 <= x*y*z, s = s + 1],

%t {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];

%t Map[t[#] &, Range[0, 50]] (* A212065 *)

%t (* _Peter J. C. Moses_, Apr 13 2012 *)

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, Apr 30 2012