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.

A212063 Number of (w,x,y,z) with all terms in {1,...,n} and w^2

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%I A212063 #10 Dec 04 2016 19:46:29
%S A212063 0,0,8,50,169,440,943,1796,3118,5090,7877,11683,16708,23253,31552,
%T A212063 41892,54589,70030,88524,110484,136289,166434,201327,241465,287278,
%U A212063 339444,398407,464742,539068,622021,714192,816319,929007,1053100
%N A212063 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x*y*z.
%C A212063 a(n)+A212064(n)=n^4.  For a guide to related sequences, see A211795.
%t A212063 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212063 (Do[If[w^2 < x*y*z, s = s + 1],
%t A212063 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212063 Map[t[#] &, Range[0, 50]] (* A212063 *)
%t A212063 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212063 Cf. A211795.
%K A212063 nonn
%O A212063 0,3
%A A212063 _Clark Kimberling_, Apr 30 2012