This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A094378 #6 Mar 30 2012 17:22:33
%S A094378 65,23,91,40,197,39,195,56,298,87,217,60,512,97,327,77,562,125,433,88,
%T A094378 712,125,484,115,924,121
%N A094378 Number of numbers having exactly n representations as ab+ac+bc with 0 < a < b < c.
%C A094378 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 A094376, A094377 and A094378, but outputs only this sequence.
%D A094378 See A025052
%e A094378 a(1) = 23 because there are 23 numbers (A093669) with unique representations.
%t A094378 cntMax=10; nSol=Table[{0, 0, 0}, {cntMax+1}]; 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>cntMax, Break[]]], {a, 1, lim-1}, {b, a+1, 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}]
%Y A094378 Cf. A000926 (n having no representations), A093669 (n having one representation), A094376, A094377.
%K A094378 nonn
%O A094378 0,1
%A A094378 _T. D. Noe_, Apr 28 2004