login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A242461 Decimal expansion of the first positive solution to exp(1-1/x)/x = 1/2, a binary search tree constant. 0
3, 7, 3, 3, 6, 4, 6, 1, 7, 7, 0, 1, 6, 7, 4, 0, 8, 4, 2, 4, 8, 4, 4, 8, 4, 3, 6, 6, 7, 9, 2, 7, 0, 5, 9, 5, 0, 0, 2, 5, 7, 6, 4, 6, 7, 0, 0, 4, 2, 7, 7, 3, 8, 4, 4, 4, 4, 9, 3, 8, 5, 7, 0, 3, 1, 5, 1, 3, 0, 5, 6, 5, 5, 1, 3, 3, 5, 3, 3, 3, 5, 5, 8, 8, 8, 1, 6, 9, 8, 8, 9, 0, 6, 5, 0, 3, 8, 8, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
The saturation level S_n of a binary search tree defined by a random n-permutation is such that S_n/log(n) converges to 0.3733646... in probability.
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, pp. 349-352.
LINKS
Luc Devroye, A Note on the Height of Binary Search Trees. McGill University, Montreal, Canada (1986).
FORMULA
-1/W(-1, -1/(2*e)) where W is the Lambert W function (ProductLog).
EXAMPLE
0.373364617701674084248448436679270595...
MATHEMATICA
RealDigits[-1/ProductLog[-1, -1/(2*E)], 10, 100] // First
CROSSREFS
Sequence in context: A283245 A066065 A145511 * A065443 A198350 A117190
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 25 02:17 EST 2024. Contains 370308 sequences. (Running on oeis4.)