

A094381


Number of numbers having exactly n representations as ab+ac+bc with 1 <= a <= b <= c.


4



18, 16, 61, 30, 133, 51, 119, 48, 275, 59, 217, 72, 386, 65, 292, 83, 545, 101, 332, 89, 673, 120, 453, 106, 865, 104
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,1


COMMENTS

Numbers up to 250,000 were checked. Note that there seem to be many more numbers having an even number of representations. Note that the Mathematica program computes A094379, A094380 and A094381, but outputs only this sequence.


REFERENCES

See A025052


LINKS

Table of n, a(n) for n=0..25.


EXAMPLE

a(1) = 16 because there are 16 numbers (A093670) with unique representations.


MATHEMATICA

cntMax=10; nSol=Table[{0, 0, 0}, {cntMax+1}]; Do[lim=Ceiling[(n1)/2]; cnt=0; Do[If[n>a*b && Mod[na*b, a+b]==0 && Quotient[na*b, a+b]>=b, cnt++; If[cnt>cntMax, Break[]]], {a, 1, lim}, {b, a, lim}]; If[cnt<=cntMax, If[nSol[[cnt+1, 1]]==0, nSol[[cnt+1, 1]]=n]; nSol[[cnt+1, 2]]=n; nSol[[cnt+1, 3]]++; ], {n, 10000}]; Table[nSol[[i, 3]], {i, cntMax+1}]


CROSSREFS

Cf. A025052 (n having no representations), A093670 (n having one representation), A094379, A094380.
Sequence in context: A299557 A079293 A070646 * A074972 A118511 A022974
Adjacent sequences: A094378 A094379 A094380 * A094382 A094383 A094384


KEYWORD

nonn


AUTHOR

T. D. Noe, Apr 28 2004


STATUS

approved



