

A118288


Decimal expansion of the EmbreeTrefethen constant.


0




OFFSET

0,1


COMMENTS

Suppose b(1) = 1 and b(n+1) = +b(n) + k*b(n1) with the four choices of sign made with equal probability. Embree & Trefethen show that if k is less than this number b(n) tends to 0, while the k is greater than 0 b(n) increases without bound.  Charles R Greathouse IV, Jul 19 2013


LINKS

Table of n, a(n) for n=0..4.
M. Embree and L. N. Trefethen, Growth and decay of random Fibonacci sequences, Roy. Soc. London Proc. Ser. A, Math. Phys. Eng. Sci. 455 (1999), pp. 24712485.
Eric Weisstein's World of Mathematics, Random Fibonacci Sequence


EXAMPLE

0.70258...


CROSSREFS

Cf. A078416.
Sequence in context: A261167 A197014 A244979 * A094153 A243374 A324479
Adjacent sequences: A118285 A118286 A118287 * A118289 A118290 A118291


KEYWORD

nonn,cons,hard,more,nice


AUTHOR

Eric W. Weisstein, Apr 22 2006


STATUS

approved



