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A212132 Number of (w,x,y,z) with all terms in {1,...,n} and w*x+y*z>=n^2. 2

%I #6 Dec 04 2016 19:46:29

%S 0,1,11,33,76,144,262,415,655,959,1377,1886,2610,3396,4465,5689,7169,

%T 8883,11042,13334,16240,19355,23003,27059,31892,36952,42878,49384,

%U 56659,64471,73683,83042,93938,105470,118114,131855,147087,162883

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

%C A212132(n)+A212111(n)=n^4. For a guide to related sequences, see A211795.

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

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

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

%t Map[t[#] &, Range[0, 40]] (* A212132 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, May 07 2012

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Last modified September 16 09:24 EDT 2024. Contains 375965 sequences. (Running on oeis4.)