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.

A075261 y-value of the solution (x,y,z) to 3/(2n+1) = 1/x + 1/y + 1/z satisfying 0 < x < y < z, odd x, y, z and having the largest z-value. The x and z components are in A075260 and A075262.

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%I A075261 #4 Mar 30 2012 17:22:26
%S A075261 5,11,9,15,33,21,17,67,33,69,113,51,87,171,77,115,241,99,155,323,129,
%T A075261 63,417,171,265,523,201,315,641,243,375,771,299,445,913,339,525,1067,
%U A075261 393,609,1233,465,297,1411,513,785,1601,579,885,1803,651,999,2017,723
%N A075261 y-value of the solution (x,y,z) to 3/(2n+1) = 1/x + 1/y + 1/z satisfying 0 < x < y < z, odd x, y, z and having the largest z-value. The x and z components are in A075260 and A075262.
%C A075261 See A075259 for more details.
%t A075261 m=3; For[xLst={}; yLst={}; zLst={}; n=5, n<=200, n=n+2, cnt=0; xr=n/m; If[IntegerQ[xr], x=xr+1, x=Ceiling[xr]]; While[yr=1/(m/n-1/x); If[IntegerQ[yr], y=yr+1, y=Ceiling[yr]]; cnt==0&&y>x, While[zr=1/(m/n-1/x-1/y); cnt==0&&zr>y, If[IntegerQ[zr], z=zr; If[OddQ[x y z], cnt++; AppendTo[xLst, x]; AppendTo[yLst, y]; AppendTo[zLst, z]]]; y++ ]; x++ ]; If[cnt==0, AppendTo[xLst, 0]; AppendTo[yLst, 0]; AppendTo[zLst, 0]]]; yLst
%Y A075261 Cf. A075259, A075260, A075262.
%K A075261 nice,nonn
%O A075261 2,1
%A A075261 _T. D. Noe_, Sep 10 2002