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A133233 Triangle A133232 read by rows with an additional column T(n,0)=1 added to the left.

%I A133233 #18 Jan 01 2018 04:13:11
%S A133233 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 A133233 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 A133233 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 A133233 Triangle A133232 read by rows with an additional column T(n,0)=1 added to the left.
%C A133233 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 A133233 Mats Granvik, <a href="/A133233/b133233.txt">Table of n, a(n) for n = 0..434</a>
%F A133233 T(n,0) = 1.
%F A133233 T(n,k) = A133232(n,k), k>0.
%e A133233 The first rows of the triangle and the least common multiple of the rows are:
%e A133233 lcm{1} = 1
%e A133233 lcm{1, 1} = 1
%e A133233 lcm{1, 1, 2} = 2
%e A133233 lcm{1, 1, 2, 3} = 6
%e A133233 lcm{1, 1, 1, 3, 4} = 12
%e A133233 lcm{1, 1, 1, 3, 4, 5} = 60
%e A133233 lcm{1, 1, 1, 3, 4, 5, 1} = 60
%e A133233 lcm{1, 1, 1, 3, 4, 5, 1, 7} = 420
%e A133233 lcm{1, 1, 1, 3, 1, 5, 1, 7, 8} = 840
%e A133233 lcm{1, 1, 1, 1, 1, 5, 1, 7, 8, 9} = 2520
%e A133233 Multiplying the terms in the rows produces the same result:
%e A133233 1 = 1
%e A133233 1*1 = 1
%e A133233 1*1*2 = 2
%e A133233 1*1*2*3 = 6
%e A133233 1*1*1*3*4 = 12
%e A133233 1*1*1*3*4*5 = 60
%e A133233 1*1*1*3*4*5*1 = 60
%e A133233 1*1*1*3*4*5*1*7 = 420
%e A133233 1*1*1*3*1*5*1*7*8 = 840
%e A133233 1*1*1*1*1*5*1*7*8*9 = 2520
%Y A133233 Cf. A003418, A120112, A000961, A014963.
%K A133233 nonn,tabl
%O A133233 0,6
%A A133233 _Mats Granvik_, Oct 13 2007
%E A133233 Removed information which duplicates A133232; offset set to 0 - _R. J. Mathar_, Nov 23 2010