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A075249
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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.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,3
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COMMENTS
| See A075248 for more details.
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FORMULA
| Is a(n) = A047252(n-3)-n+4 ? - Ralf Stephan, Feb 24 2004
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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
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CROSSREFS
| Cf. A075248, A075250, A075251.
Sequence in context: A092278 A105512 A002266 * A008648 A154099 A105511
Adjacent sequences: A075246 A075247 A075248 * A075250 A075251 A075252
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KEYWORD
| hard,nice,nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Sep 10 2002
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