A292431 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.
0, 6, 10, 12, 18, 20, 24, 30, 36, 40, 42, 48, 56, 60, 72, 84, 90, 108, 120, 144, 168, 180, 210, 240, 280, 300, 330, 336, 360, 420, 480, 504, 540, 600, 630, 660, 720, 840, 1008, 1080, 1200, 1260, 1440, 1560, 1680, 1980, 2100, 2160, 2310, 2340
Offset: 1
Keywords
Examples
There are 4 unordered triples {a, b, c} of distinct positive integers from 1 to 10 such that a*b = c*10:
{2, 5, 1}: 2*5 = 1*10 = 10;
{4, 5, 2}: 4*5 = 2*10 = 20;
{5, 6, 3}: 5*6 = 3*10 = 30;
{5, 8, 4}: 5*8 = 4*10 = 40.
This is more than any n < 10, so 10 is in this sequence.
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