A022934 Number of 2^m between e^n and e^(n+1).

1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1

Offset

0,3

Comments

Obviously each term is either 1 or 2. If n tends to infinity, then Sum(a(i), i=0...n)/n converges to 1/log(2) which is approximately 1.442695. The density of 1's in the sequence is 2-1/log(2) which is 0.5573049591. - Stefan Steinerberger, Apr 16 2006

Links

Table of n, a(n) for n=0..98.

Mathematica

Table[Floor[Log[2, E^(n + 1)]] - Floor[Log[2, E^n]], {n, 0, 100}] (* Stefan Steinerberger, Apr 16 2006 *)

Crossrefs

Sequence in context: A232740 A188512 A081129 * A107450 A341765 A104248

Adjacent sequences: A022931 A022932 A022933 * A022935 A022936 A022937

Keyword

nonn

Author

Clark Kimberling

Status

approved