%I
%S 1,12,18,20,24,27,28,30,32,35,36,40,42,44,45,48,49,50,52,54,55,56,60,
%T 63,64,65,66,68,70,72,75,76,77,78,80,81,84,85,88,90,91,92,95,96,98,99,
%U 100,102,104,105,108,110,112,114,115,116,117,119,120,121,124,125,126,128,130,132,133,135
%N Integers n such that (n1)! is divisible by n^3.
%C Integers n such that A000142(n1) is divisible by A000578(n).
%C Obviously, all terms are nonprime.
%C For n > 1, members of this sequence are short leg of more than one Pythagorean triangle.
%H Chai Wah Wu, <a href="/A271345/b271345.txt">Table of n, a(n) for n = 1..10000</a>
%e 12 is a term because 11! is divisible 12^3.
%o (PARI) lista(nn) = for(n=1, nn, if((n1)! % (n^3) == 0, print1(n, ", ")));
%Y Cf. A000142, A000578, A009188, A264828.
%K nonn
%O 1,2
%A _Altug Alkan_, Apr 04 2016
