A181814 - OEIS

%I #4 Mar 30 2012 17:27:19

%S 1,2,12,24,720,720,151200,302400,1814400,1814400,4191264000,

%T 4191264000,125863657920000,125863657920000,125863657920000,

%U 251727315840000,128509312009478400000,128509312009478400000,1246500488605217541696000000

%N a(n)=smallest integer that, when divided by any integer from 1 to n, yields a member of A025487.

%F If A003418(n) = Product p(i)^e(i), then a(n) = Product A002110(i)^e(i). I.e., a(n) = A108951(A003418(n)).

%F a(n) = A003418(n)*A181813(n).

%e For integers k= 1 to 6, 720/k (720, 360, 240, 180, 144, 120) is always a member of A025487. 720 is the smallest integer with this property; therefore, a(6) = 720.

%Y All terms also belong to A181818.

%K nonn

%O 1,2

%A _Matthew Vandermast_, Nov 30 2010