A057603 Second term of continued fraction for log(n).

1, 10, 2, 1, 1, 1, 12, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 22, 10, 7, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 136, 39, 23, 16, 12, 10, 9, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1

Offset: 2

Author

Leroy Quet, Oct 07 2000

Keywords

• easy
• nonn

Programs

Mathematica

Table[ContinuedFraction[Log[n],10][[2]],{n,2,120}] (* Harvey P. Dale, Jul 18 2023 *)

Formula

a(n) = floor(1/(log(n) - floor(log(n)))).