A075262 - OEIS

A075262

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.

15, 231, 45, 165, 2145, 105, 153, 8911, 693, 207, 25425, 1683, 957, 58311, 1001, 10465, 115921, 6435, 19065, 208335, 10965, 2961, 347361, 2907, 5035, 546535, 26733, 18585, 821121, 39123, 112125, 1188111, 7475, 157975, 1666225, 76275

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OFFSET

2,1

COMMENTS

See A075259 for more details.

LINKS

Table of n, a(n) for n=2..37.

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]]]; zLst

CROSSREFS

Cf. A075259, A075260, A075261.

Sequence in context: A154597 A041422 A129836 * A286722 A250418 A231411

Adjacent sequences: A075259 A075260 A075261 * A075263 A075264 A075265

KEYWORD

nice,nonn

AUTHOR

T. D. Noe, Sep 10 2002

STATUS

approved