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%I A045511 #17 Jul 19 2020 02:13:17
%S A045511 362880,3628800,39916800,355687428096000,
%T A045511 304888344611713860501504000000,
%U A045511 371993326789901217467999448150835200000000
%N A045511 Factorials having initial digit '3'.
%C A045511 Benford's law shows that this sequence will contain about (log 4 - log 3)/log 10 =~ 12% of factorials. [_Charles R Greathouse IV_, Nov 13 2010]
%H A045511 <a href="/index/Be#Benford">Index entries for sequences related to Benford's law</a>
%F A045511 a(n) = A000142(A045522(n)). - _Amiram Eldar_, Jul 19 2020
%t A045511 Select[Range[100]!,First[IntegerDigits[#]]==3&] (* _Harvey P. Dale_, Jun 16 2016 *)
%Y A045511 For factorials with initial digit d (1 <= d <= 9) see A045509, A045510, A045511, A045516, A045517, A045518, A282021, A045519; A045520, A045521, A045522, A045523, A045524, A045525, A045526, A045527, A045528, A045529.
%Y A045511 Cf. A000142.
%K A045511 nonn,base
%O A045511 1,1
%A A045511 _Jeff Burch_

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