cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A212055 Number of (w,x,y,z) with all terms in {1,...,n} and w*x<=y*z+2.

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%I A212055 #7 Dec 04 2016 19:46:29
%S A212055 0,1,15,62,176,395,775,1382,2296,3595,5407,7822,10968,14995,20063,
%T A212055 26286,33896,43043,53951,66798,81832,99251,119375,142382,168592,
%U A212055 198251,231711,269190,311088,357675,409367,466422,529296,598267,673855
%N A212055 Number of (w,x,y,z) with all terms in {1,...,n} and w*x<=y*z+2.
%C A212055 a(n)+A212056(n)=n^4.  See A211795 for a guide to related sequences.
%t A212055 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212055 (Do[If[w*x <= y*z + 2, s = s + 1],
%t A212055 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212055 Map[t[#] &, Range[0, 50]] (* A212055 *)
%t A212055 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212055 Cf. A211795.
%K A212055 nonn
%O A212055 0,3
%A A212055 _Clark Kimberling_, Apr 29 2012