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%I #6 Nov 18 2021 19:15:16
%S 24,121645100408832000,51090942171709440000,620448401733239439360000,
%T 2658271574788448768043625811014615890319638528000000000,
%U 1405006117752879898543142606244511569936384000000000,30414093201713378043612608166064768844377641568960512000000000000,40526919504877216755680601905432322134980384796226602145184481280000000000000
%N Smallest factorial containing exactly n 4's.
%e a(2)=121645100408832000 so 121645100408832000 is the smallest factorial containing exactly two 4's.
%t Table[SelectFirst[Table[With[{c=n!},{c,DigitCount[c,10,4]}],{n,100}],#[[2]] == k&],{k,8}][[All,1]] (* _Harvey P. Dale_, Nov 18 2021 *)
%K base,nonn
%O 1,1
%A _Shyam Sunder Gupta_, Jul 30 2002
%E More terms from _Harvey P. Dale_, Nov 18 2021