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A093669 Numbers having a unique representation as ab+ac+bc, with 0 < a < b < c. 6
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; text; internal format)
OFFSET

1,1

COMMENTS

Are there more terms?

No more terms < 10^6. - Joerg Arndt, Oct 01 2017

REFERENCES

See A025052.

LINKS

Table of n, a(n) for n=1..23.

EXAMPLE

11 is on the list because 11 = 1*2+1*3+2*3.

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

CROSSREFS

Cf. A000926 (numbers not of the form ab+ac+bc, 0<a<b<c).

Sequence in context: A221281 A025058 A025060 * A084805 A159020 A015830

Adjacent sequences:  A093666 A093667 A093668 * A093670 A093671 A093672

KEYWORD

nonn

AUTHOR

T. D. Noe, Apr 08 2004

STATUS

approved

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Last modified July 23 21:10 EDT 2019. Contains 325266 sequences. (Running on oeis4.)