A045511 Factorials having initial digit '3'.

362880, 3628800, 39916800, 355687428096000, 304888344611713860501504000000, 371993326789901217467999448150835200000000

Offset: 1

Author

Jeff Burch

Keywords

• nonn
• base

Comments

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]

Links

• Index entries for sequences related to Benford's law

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.

Cf. A000142.

Programs

Mathematica

Select[Range[100]!,First[IntegerDigits[#]]==3&] (* Harvey P. Dale, Jun 16 2016 *)

Formula

a(n) = A000142(A045522(n)). - Amiram Eldar, Jul 19 2020