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n! never ends in this many 0's in base 9.
7

%I #7 Dec 26 2023 13:34:38

%S 12,19,32,39,52,59,66,79,86,99,106,119,120,133,140,153,160,173,180,

%T 181,194,201,214,221,234,241,248,261,268,281,288,301,302,315,322,335,

%U 342,355,362,363,376,383,396,403,416,423,430,443,450,463,470,483,484,497

%N n! never ends in this many 0's in base 9.

%t Module[{nn=5000,zd},zd=Union[Table[Length[Last[Split[IntegerDigits[n!,9]]]],{n,nn}]];Complement[ Range[Max[zd]],zd]] (* _Harvey P. Dale_, Dec 26 2023 *)

%Y Cf. A000142, A136760, A136696.

%Y Cf. A000966, A055938, A096346, A136767, A136768, A136769, A136771, A136772, A136773, A136774.

%K base,nonn

%O 1,1

%A _Carl R. White_, Jan 21 2008