A368010 Ordinal transform of the leading digit of the factorial numbers.

1, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 2, 2, 1, 4, 3, 4, 3, 5, 4, 2, 6, 5, 4, 7, 3, 8, 5, 2, 6, 3, 7, 4, 8, 9, 6, 10, 3, 9, 5, 7, 11, 5, 10, 12, 4, 11, 13, 6, 8, 14, 6, 4, 12, 15, 2, 5, 13, 16, 7, 5, 9, 17, 18, 8, 6, 10, 14, 19, 20, 9, 7, 6, 11, 15, 21, 22, 23, 10

Offset: 0

Author

Alois P. Heinz, Dec 07 2023

Keywords

• nonn
• look
• base

Comments

n is the a(n)-th nonnegative integer producing value A008905(n).

Examples

			a(11) = 3 because 11! = 39916800 is the third factorial with leading digit 3 after 9! = 362880 and 10! = 3628800.  A008905(k) = 3 for k = 9, 10, 11, ... .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..20000

Crossrefs

Cf. A000142, A008905, A367799.

Formula

Ordinal transform of A008905.

a(n) = |{ j in {0..n} : A008905(j) = A008905(n) }|.