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The OEIS WebCam: Best Sequences

A075250

y-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 z components are in A075249 and A075251.

2, 5, 3, 4, 5, 9, 19, 7, 9, 13, 20, 43, 13, 17, 23, 37, 77, 21, 27, 37, 58, 121, 31, 40, 55, 85, 175, 43, 56, 75, 116, 239, 57, 73, 99, 153, 313, 73, 93, 127, 194, 397, 91, 116, 157, 241, 491, 111, 141, 191, 292, 595, 133, 169, 229, 349, 709, 157, 95, 269, 410, 833

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,1

COMMENTS

See A075248 for more details.

LINKS

Table of n, a(n) for n=3..64.

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++ ]]; yLst

CROSSREFS

Cf. A075248, A075249, A075251.

Sequence in context: A355505 A146096 A011310 * A216248 A379900 A060127

Adjacent sequences: A075247 A075248 A075249 * A075251 A075252 A075253

KEYWORD

hard,nice,nonn

AUTHOR

T. D. Noe, Sep 10 2002

STATUS

approved