%I #15 Dec 25 2015 21:42:14
%S 2,32,3222,53222,5332222,75332222,75332222222,7533332222222,
%T 755333322222222
%N Largest number without decimal digits equal to 1 whose product of digits gives n!.
%C Maximal solutions are obtained from the concatenation of distinct prime factors that have one decimal digit. The sequence is finite because, for n>10, n! has 2-digit prime factors.
%F a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]].
%Y Cf. A000142, A001222, A002473, A067734, A068183-A068187, A068189-A068191.
%K base,fini,nonn,full
%O 2,1
%A _Labos Elemer_, Feb 18 2002