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

Author

Clark Kimberling

Keywords

• nonn

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

• Georg Fischer, Table of n, a(n) for n = 0..1000

Programs

Mathematica

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