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A093669
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Numbers having a unique representation as ab+ac+bc, with 0 < a < b < c.
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5
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11, 14, 17, 19, 20, 27, 32, 34, 36, 43, 46, 49, 52, 64, 67, 73, 82, 97, 100, 142, 148, 163, 193
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Are there more terms?
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REFERENCES
| See A025052
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EXAMPLE
| 11 is on the list because 11 = 1*2+1*3+2*3.
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MATHEMATICA
| oneSol={}; Do[lim=Ceiling[(n-2)/3]; cnt=0; Do[If[n>a*b && Mod[n-a*b, a+b]==0 && Quotient[n-a*b, a+b]>b, cnt++; If[cnt>1, Break[]]], {a, 1, lim-1}, {b, a+1, lim}]; If[cnt==1, AppendTo[oneSol, n]], {n, 10000}]; oneSol
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CROSSREFS
| Cf. A000926 (numbers not of the form ab+ac+bc, 0<a<b<c).
Sequence in context: A025058 A153049 A025060 * A084805 A159020 A015830
Adjacent sequences: A093666 A093667 A093668 * A093670 A093671 A093672
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Apr 08 2004
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