A045517 Factorials with initial digit '5'.

5040, 51090942171709440000, 523022617466601111760007224100074291200000000, 5502622159812088949850305428800254892961651752960000000000

Offset

1,1

Comments

Benford's law shows that this sequence will contain about (log 6 - log 5)/log 10 =~ 8% of factorials. [Charles R Greathouse IV, Nov 13 2010]

Links

Table of n, a(n) for n=1..4.

Index entries for sequences related to Benford's law

Formula

a(n) = A000142(A045524(n)). - Amiram Eldar, Jul 19 2020

Mathematica

Select[Range[100]!, First[IntegerDigits[#]]==5&] (* Harvey P. Dale, Sep 06 2016 *)

Crossrefs

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. See also A000142.

Sequence in context: A367571 A072242 A271947 * A369181 A068897 A200730

Adjacent sequences: A045514 A045515 A045516 * A045518 A045519 A045520

Keyword

nonn,base

Author

Jeff Burch

Status

approved