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A212066 Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x*y*z. 3

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

%S 0,0,4,24,71,166,322,571,928,1403,2043,2875,3906,5183,6727,8584,10762,

%T 13303,16219,19601,23442,27766,32636,38080,44130,50771,58147,66243,

%U 75099,84768,95238,106629,118939,132179,146448,161761,178106

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

%C a(n)+A212065(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]] (* A212066 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, Apr 30 2012

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Last modified February 25 02:17 EST 2024. Contains 370308 sequences. (Running on oeis4.)