%I A137425
%S A137425 1,2,4,6,12,24,36,48,60,120,180,240,360,720,1080
%N A137425 a(1) = 1;l for n>1, a(n) = smallest number such that: 1. the number of 
               divisors is strictly increasing, 2. the differences between the terms 
               are nondecreasing.
%e A137425 840 with 32 divisors cannot be the term after 720 because 720 - 360 = 
               360 and 840 - 720 is 120 < 360. On the other hand, 1080 (also with 
               32 divisors) can because 720 - 360 = 360 and 1080 - 720 = 360 >= 
               360.
%Y A137425 Sequence in context: A077006 A004394 A166981 this_sequence A141320 A134865 
               A140753
%Y A137425 Adjacent sequences: A137422 A137423 A137424 this_sequence A137426 A137427 
               A137428
%K A137425 more,nonn
%O A137425 1,2
%A A137425 J. Lowell (jhbubby(AT)mindspring.com), Apr 17 2008