OFFSET
0,1
COMMENTS
Suppose b(1) = 1 and b(n+1) = +-b(n) +- x*b(n-1) with the four choices of sign made with equal probability. Embree and Trefethen show that if x is less than this constant, b(n) tends to 0; otherwise, |b(n)| increases without bound. - Charles R Greathouse IV, Jul 19 2013
Named after the American mathematicians Mark Patrick Embree (b. 1974) and Lloyd Nicholas Trefethen (b. 1955). - Amiram Eldar, Jun 16 2021
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, section 1.2.4, p. 10.
LINKS
M. Embree and L. N. Trefethen, Growth and decay of random Fibonacci sequences, Roy. Soc. London Proc. Ser. A, Math. Phys. Eng. Sci., Vol. 455 (1999), pp. 2471-2485.
Eric Weisstein's World of Mathematics, Random Fibonacci Sequence.
Wikipedia, Embree-Trefethen constant.
EXAMPLE
0.70258...
CROSSREFS
KEYWORD
AUTHOR
Eric W. Weisstein, Apr 22 2006
STATUS
approved