A118975 - OEIS

%I #9 Mar 17 2018 21:15:20

%S 1,1,2,2,3,4,6,3,4,6,8,9,12,12,15,20,24,30,36,40,45,48,60,10,12,15,20,

%T 24,30,36,40,45,48,50,60,60,70,84,105,120,140,168,180,210,240,252,280,

%U 300,315,336,350,360,420,105,120,140,168,210,240

%N Triangular array: row n consists of M times n-th-order Farey fractions, where M is the LCM of their denominators.

%C The multiplier M(n) = A003418(n). Column 1 is A002944(n) = (1/n)*lcm(1,2,...,n). The numbers in row n are relatively prime (unlike the related array A093594).

%e Row 4 is 12*(1/4, 1/3, 1/2, 2/3, 3/4, 1).

%e First 5 rows:

%e    1

%e    1  2

%e    2  3  4  6

%e    3  4  6  8  9 12

%e   12 15 20 24 30 36 40 45 48 60.

%Y Cf. A003418.

%K nonn,tabf

%O 1,3

%A _Clark Kimberling_, May 07 2006