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A022934 Number of 2^m between e^n and e^(n+1). +0
3
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 (list; graph; listen)
OFFSET

0,3

COMMENT

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 (stefan.steinerberger(AT)gmail.com), Apr 16 2006

MATHEMATICA

Table[Floor[Log[2, E^(n + 1)]] - Floor[Log[2, E^n]], {n, 0, 100}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 16 2006

CROSSREFS

Sequence in context: A103587 A100387 A081129 this_sequence A107450 A104248 A069349

Adjacent sequences: A022931 A022932 A022933 this_sequence A022935 A022936 A022937

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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