A212144 - OEIS

%I #5 Dec 04 2016 19:46:30

%S 0,0,7,42,135,340,717,1332,2281,3657,5604,8224,11676,16113,21712,

%T 28656,37122,47368,59583,74049,90988,110667,133368,159394,189084,

%U 222681,260635,303210,350841,403846,462705,527727,599332,678054,764322

%N Number of (w,x,y,z) with all terms in {1,...,n} and w > (geometric mean of x,y,z).

%C A212144(n)+A212143(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]] (* A212144 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, May 06 2012