%I #18 Jan 01 2018 04:13:11
%S 1,1,1,1,1,2,1,1,2,3,1,1,1,3,4,1,1,1,3,4,5,1,1,1,3,4,5,1,1,1,1,3,4,5,
%T 1,7,1,1,1,3,1,5,1,7,8,1,1,1,1,1,5,1,7,8,9,1,1,1,1,1,5,1,7,8,9,1,1,1,
%U 1,1,1,5,1,7,8,9,1,11,1,1,1,1,1,5,1,7,8,9,1,11,1,1,1,1,1,1,5,1,7,8,9,1,11
%N Triangle A133232 read by rows with an additional column T(n,0)=1 added to the left.
%C Attaching an additional 1 does not change the composition compared to A133232 since neither the LCM over the elements of a row nor their product is affected.
%H Mats Granvik, <a href="/A133233/b133233.txt">Table of n, a(n) for n = 0..434</a>
%F T(n,0) = 1.
%F T(n,k) = A133232(n,k), k>0.
%e The first rows of the triangle and the least common multiple of the rows are:
%e lcm{1} = 1
%e lcm{1, 1} = 1
%e lcm{1, 1, 2} = 2
%e lcm{1, 1, 2, 3} = 6
%e lcm{1, 1, 1, 3, 4} = 12
%e lcm{1, 1, 1, 3, 4, 5} = 60
%e lcm{1, 1, 1, 3, 4, 5, 1} = 60
%e lcm{1, 1, 1, 3, 4, 5, 1, 7} = 420
%e lcm{1, 1, 1, 3, 1, 5, 1, 7, 8} = 840
%e lcm{1, 1, 1, 1, 1, 5, 1, 7, 8, 9} = 2520
%e Multiplying the terms in the rows produces the same result:
%e 1 = 1
%e 1*1 = 1
%e 1*1*2 = 2
%e 1*1*2*3 = 6
%e 1*1*1*3*4 = 12
%e 1*1*1*3*4*5 = 60
%e 1*1*1*3*4*5*1 = 60
%e 1*1*1*3*4*5*1*7 = 420
%e 1*1*1*3*1*5*1*7*8 = 840
%e 1*1*1*1*1*5*1*7*8*9 = 2520
%Y Cf. A003418, A120112, A000961, A014963.
%K nonn,tabl
%O 0,6
%A _Mats Granvik_, Oct 13 2007
%E Removed information which duplicates A133232; offset set to 0 - _R. J. Mathar_, Nov 23 2010