A211921 - OEIS

%I #8 Dec 04 2016 19:46:28

%S 0,1,11,58,176,407,840,1536,2591,4133,6268,9119,12895,17684,23706,

%T 31201,40315,51239,64352,79770,97829,118795,142947,170548,202114,

%U 237757,277915,323080,373489,429449,491670,560274,635851,718858,809692

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

%C a(n)+A211922(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]] (* A211921 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, Apr 28 2012