A075251 z-value of the solution (x,y,z) to 5/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z and having the largest z-value. The x and y components are in A075249 and A075250.

6, 20, 6, 12, 70, 72, 342, 42, 99, 156, 780, 1806, 156, 272, 1564, 1332, 5852, 420, 945, 4070, 6670, 14520, 930, 1560, 2970, 7140, 30450, 1806, 1736, 16800, 26796, 56882, 3192, 5256, 29304, 23256, 97656, 5256, 11439, 16002, 75078, 157212, 8190, 13340

Offset

3,1

Comments

See A075248 for more details.

Links

Table of n, a(n) for n=3..46.

Mathematica

For[xLst={}; yLst={}; zLst={}; n=3, n<=100, n++, cnt=0; xr=n/5; If[IntegerQ[xr], x=xr+1, x=Ceiling[xr]]; While[yr=1/(5/n-1/x); If[IntegerQ[yr], y=yr+1, y=Ceiling[yr]]; cnt==0&&y>x, While[zr=1/(5/n-1/x-1/y); cnt==0&&zr>y, If[IntegerQ[zr], z=zr; cnt++; AppendTo[xLst, x]; AppendTo[yLst, y]; AppendTo[zLst, z]]; y++ ]; x++ ]]; zLst

Crossrefs

Cf. A075248, A075249, A075250.

Sequence in context: A224919 A282377 A281936 * A090590 A002566 A087998

Adjacent sequences: A075248 A075249 A075250 * A075252 A075253 A075254

Keyword

hard,nice,nonn

Author

T. D. Noe, Sep 10 2002

Status

approved