%I A089913
%S A089913 1,2,2,3,1,3,4,6,6,4,5,2,1,2,5,6,10,12,12,10,6,7,3,15,1,15,3,7,8,14,2,
%T A089913 20,20,2,14,8,9,4,21,6,1,6,21,4,9,10,18,24,28,30,30,28,24,18,10,11,5,3,
%U A089913 2,35,1,35,2,3,5,11,12,22,30,36,40,42,42,40,36,30,22,12,13,6,33,10,45
%N A089913 Table T(n,k) = LCM(n,k)/GCD(n,k) = nk/GCD(n,k)^2 read by antidiagonals 
               (n>=1, k>=1).
%C A089913 A multiplicative analogue of absolute difference A049581. Exponents in 
               prime factorization of T(n,k) are absolute differences of those of 
               n and k. Commutative non-associative operator with identity 1. T(nx,
               kx)=T(n,k), T(n^x,k^x)=T(n,k)^x, etc.
%e A089913 T(6,10) = LCM(6,10)/GCD(6,10) = 30/2 = 15.
%Y A089913 Cf. A049581.
%Y A089913 Sequence in context: A113881 A072030 A080045 this_sequence A059897 A071450 
               A072078
%Y A089913 Adjacent sequences: A089910 A089911 A089912 this_sequence A089914 A089915 
               A089916
%K A089913 easy,nonn,tabl
%O A089913 1,2
%A A089913 Marc LeBrun (mlb(AT)well.com), Nov 14 2003