A075249 - OEIS

A075249

x-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 y and z components are in A075250 and A075251.

1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 14, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

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OFFSET

3,3

COMMENTS

See A075248 for more details.

LINKS

Table of n, a(n) for n=3..85.

FORMULA

Is a(n) = A047252(n-3)-n+4 ? - Ralf Stephan, Feb 24 2004

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++ ]]; xLst

CROSSREFS

Cf. A075248, A075250, A075251.

Sequence in context: A105512 A301506 A002266 * A008648 A154099 A105511

Adjacent sequences: A075246 A075247 A075248 * A075250 A075251 A075252

KEYWORD

hard,nice,nonn

AUTHOR

T. D. Noe, Sep 10 2002

STATUS

approved