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A118288 Decimal expansion of the Embree-Trefethen constant. 0
7, 0, 2, 5, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Suppose b(1) = 1 and b(n+1) = +-b(n) +- k*b(n-1) 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. 2471-2485.

Eric Weisstein's World of Mathematics, Random Fibonacci Sequence

EXAMPLE

0.70258...

CROSSREFS

Cf. A078416.

Sequence in context: A261167 A197014 A244979 * A094153 A243374 A215479

Adjacent sequences:  A118285 A118286 A118287 * A118289 A118290 A118291

KEYWORD

nonn,cons,hard,more,nice

AUTHOR

Eric W. Weisstein, Apr 22 2006

STATUS

approved

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Last modified July 20 22:51 EDT 2017. Contains 289629 sequences.