A045518 Factorials with initial digit '6'.

6, 6227020800, 6402373705728000, 620448401733239439360000, 60415263063373835637355132068513997507264512000000000, 608281864034267560872252163321295376887552831379210240000000000

Offset: 1

Author

Jeff Burch

Keywords

• nonn
• base

Comments

Benford's law shows that this sequence will contain about (log 7 - log 6)/log 10 =~ 7% 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. See also A000142.

Programs

Mathematica

Select[Range[50]!,IntegerDigits[#][[1]]==6&] (* Harvey P. Dale, Nov 14 2018 *)

Formula

a(n) = A000142(A045525(n)). - Amiram Eldar, Jul 19 2020