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 A075260 x-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 y and z components are in A075261 and A075262. 3
 3, 3, 5, 5, 5, 7, 9, 7, 9, 9, 9, 11, 11, 11, 13, 13, 13, 15, 15, 15, 17, 21, 17, 19, 19, 19, 21, 21, 21, 23, 23, 23, 25, 25, 25, 27, 27, 27, 29, 29, 29, 31, 33, 31, 33, 33, 33, 35, 35, 35, 37, 37, 37, 39, 39, 39, 41, 43, 41, 43, 43, 43, 45, 45, 45, 47, 49, 47, 49, 49, 49, 51, 51 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS See A075259 for more details. LINKS MATHEMATICA 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]]]; xLst CROSSREFS Cf. A075259, A075261, A075262. Sequence in context: A131507 A203998 A257371 * A054847 A335266 A067782 Adjacent sequences: A075257 A075258 A075259 * A075261 A075262 A075263 KEYWORD nice,nonn AUTHOR T. D. Noe, Sep 10 2002 STATUS approved

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Last modified April 1 23:16 EDT 2023. Contains 361717 sequences. (Running on oeis4.)