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A045516 Factorials with initial digit '4'. 18

%I #17 Jul 19 2020 02:13:50

%S 40320,479001600,403291461126605635584000000,

%T 4274883284060025564298013753389399649690343788366813724672000000000000,

%U 40526919504877216755680601905432322134980384796226602145184481280000000000000

%N Factorials with initial digit '4'.

%C Benford's law shows that this sequence will contain about (log 5 - log 4)/log 10 =~ 10% of factorials. [_Charles R Greathouse IV_, Nov 13 2010]

%C The next term (a(6)) has 106 digits. - _Harvey P. Dale_, Nov 05 2015

%H <a href="/index/Be#Benford">Index entries for sequences related to Benford's law</a>

%F a(n) = A000142(A045523(n)). - _Amiram Eldar_, Jul 19 2020

%t Select[Range[200]!,IntegerDigits[#][[1]]==4&] (* _Harvey P. Dale_, Nov 05 2015 *)

%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_

%E One more term (a(5)) from _Harvey P. Dale_, Nov 05 2015

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)