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%I #5 Mar 30 2012 17:22:26
%S 15,231,45,165,2145,105,153,8911,693,207,25425,1683,957,58311,1001,
%T 10465,115921,6435,19065,208335,10965,2961,347361,2907,5035,546535,
%U 26733,18585,821121,39123,112125,1188111,7475,157975,1666225,76275
%N z-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 y components are in A075260 and A075261.
%C See A075259 for more details.
%t 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]]]; zLst
%Y Cf. A075259, A075260, A075261.
%K nice,nonn
%O 2,1
%A _T. D. Noe_, Sep 10 2002
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