%I #33 Oct 06 2017 01:55:09
%S 0,6,10,12,18,20,24,30,36,40,42,48,56,60,72,84,90,108,120,144,168,180,
%T 210,240,280,300,330,336,360,420,480,504,540,600,630,660,720,840,1008,
%U 1080,1200,1260,1440,1560,1680,1980,2100,2160,2310,2340
%N Numbers n with record numbers of unordered triples {a, b, c} of distinct positive integers from 1 to n such that a*b = c*n.
%C Numbers n with record numbers of ordered triples {a, b, c} such that a*b = c*n with c < a < b < n.
%e There are 4 unordered triples {a, b, c} of distinct positive integers from 1 to 10 such that a*b = c*10:
%e {2, 5, 1}: 2*5 = 1*10 = 10;
%e {4, 5, 2}: 4*5 = 2*10 = 20;
%e {5, 6, 3}: 5*6 = 3*10 = 30;
%e {5, 8, 4}: 5*8 = 4*10 = 40.
%e This is more than any n < 10, so 10 is in this sequence.
%Y Where records occur in A278648.
%Y Cf. A292430.
%K nonn
%O 1,2
%A _Bobby Jacobs_ and _Robert G. Wilson v_, Sep 30 2017