%I
%S 1,12,456,9360,155520,21772800,1146700800,44503603200,11860515072000,
%T 1237663494144000,107797432393728000,36342886035456000000,
%U 6476053728774389760000,1089563850990959984640000
%N Difference between (n!)^2 and the next smaller factorial.
%e a(3)=12 because the difference between (3!)^2=36 and the next smaller factorial 4!=24 is 12.
%Y Cf. A121347 [Largest number k such that (n!)^2k!>0].
%K nonn
%O 2,2
%A _Hugo Pfoertner_, Aug 15 2006
