A211922 - OEIS

%I #10 Dec 04 2016 19:46:28

%S 0,0,5,23,80,218,456,865,1505,2428,3732,5522,7841,10877,14710,19424,

%T 25221,32282,40624,50551,62171,75686,91309,109293,129662,152868,

%U 179061,208361,241167,277832,318330,363247,412725,467063,526644,591736,662511,739687,823382

%N Number of (w,x,y,z) with all terms in {1,...,n} and 2*w*x>3*y*z.

%C a(n)+A211921(n)=n^4.

%C See A211795 for a guide to related sequences.

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

%t (Do[If[2 w*x > 3 y*z, s = s + 1],

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

%t Map[t[#] &, Range[0, 40]] (* A211922 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, Apr 28 2012