A137152 - OEIS

%I #2 Mar 31 2012 14:45:10

%S 1,1,2,1,2,3,1,1,3,4,1,1,3,4,5,1,1,3,4,5,7,1,1,3,1,5,7,8,1,1,1,1,5,7,

%T 8,9,1,1,1,1,5,7,8,9,11,1,1,1,1,5,7,8,9,11,13,1,1,1,1,5,7,1,9,11,13,

%U 16,1,1,1,1,5,7,1,9,11,13,16,17,1,1,1,1,5,7,1,9,11,13,16,17,19,1,1,1,1,5,7,1

%N Triangle read by rows: prime powers whose row products give A051451.

%C Similar to tables A133232 and A133233.

%e The least common multiple of the first few rows are:

%e lcm{1} = 1

%e lcm{1,2} = 2

%e lcm{1,2,3} = 6

%e lcm{1,1,3,4} = 12

%e lcm{1,1,3,4,5} = 60

%e lcm{1,1,3,4,5,7} = 420

%e lcm{1,1,3,1,5,7,8} = 840

%e lcm{1,1,1,1,5,7,8,9} = 2520

%e lcm{1,1,1,1,5,7,8,9,11} = 27720

%e Multiplying the terms in the rows produces the same result:

%e 1 = 1

%e 1*2 = 2

%e 1*2*3 = 6

%e 1*1*3*4 = 12

%e 1*1*3*4*5 = 60

%e 1*1*3*4*5*7 = 420

%e 1*1*3*1*5*7*8 = 840

%e 1*1*1*1*5*7*8*9 = 2520

%e 1*1*1*1*5*7*8*9*11 = 27720

%Y Cf. A051451.

%K nonn,tabl

%O 1,3

%A _Mats Granvik_, Jan 24 2008