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A045510 Factorials having initial digit '2'. 19

%I #19 Jul 19 2020 02:11:49

%S 2,24,20922789888000,2432902008176640000,25852016738884976640000,

%T 265252859812191058636308480000000,

%U 263130836933693530167218012160000000

%N Factorials having initial digit '2'.

%C Benford's law shows that this sequence will contain about (log 3 - log 2)/log 10 =~ 18% of factorials. [_Charles R Greathouse IV_, Nov 13 2010]

%F a(n) = A000142(A045521(n)). - _Amiram Eldar_, Jul 19 2020

%t Select[Range[50]!,IntegerDigits[#][[1]]==2&] (* _Harvey P. Dale_, Mar 21 2020 *)

%o (PARI) lista(nn) = {for (n=1, nn, if (digits(n!)[1] == 2, print1(n!, ", ")););} \\ _Michel Marcus_, Dec 13 2017

%Y 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 Cf. A000142.

%K nonn,base

%O 1,1

%A _Jeff Burch_

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)