

A078416


Decimal expansion of Viswanath's constant.


9



1, 1, 3, 1, 9, 8, 8, 2, 4, 8, 7, 9, 4, 3
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OFFSET

1,3


COMMENTS

a(8) is 7, 8 or 9 (Oliveira et al.).  R. J. Mathar, Apr 13 2006
a(13) is probably 0.  ZQ Bai (phybai(AT)163.com), Dec 17 2007


REFERENCES

ZaiQiao Bai, 2007, On the cycle expansion for the Lyapunov exponent of a product of random matrices, J. Phys. A: Math. Theo. 40: 83158328
K. Devlin, "How Recreational Mathematics Can Save The World" in "The Puzzler's Tribute" Ed. D. Wolfe & T. Rodgers pp. 3519, A. K. Peters, MA, 2002.
M. Embree and L. N. Trefethen, Growth and decay of random Fibonacci sequences, R. Soc. Lond. Proc. Ser. A, Math. Phys. Eng. Sci. 455 (1999), 24712485.
S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.2.4.
Karyn McLellan, Periodic coefficients and random Fibonacci sequences, Electronic Journal of Combinatorics, 20(4), 2013, #P32.


LINKS

Table of n, a(n) for n=1..14.
K. Devlin, New mathematical constant discovered.
Brian Hayes, The Vibonacci Numbers
E. Makover & J. McGowan, An elementary proof that random Fibonacci sequences grow exponentially, arXiv:math/0510159 [math.NT], 2005.
J. B. Oliveira and L. H de Figueiredo, Interval computation of Viswanath's constant, Reliable Computing 8 (2002) no. 2, 131138
I. Peterson, Fibonacci at random
I. Peterson, Math Trek, Stepping Beyond Fibonacci Numbers
Lloyd N. Trefethen, Home page
Divakar Viswanath, Home page [?Broken link]
D. Viswanath, Random Fibonacci sequences and the number 1.13198824...., Mathematics of Computation, Vol. 69, no. 231 (2000), 11311155.
Eric Weisstein's World of Mathematics, Random Fibonacci Sequence
Eric Weisstein's World of Mathematics, Random Matrix
Wikipedia, Viswanath's constant


EXAMPLE

1.1319882487943....


CROSSREFS

Cf. A115064.
Sequence in context: A185948 A016601 A193031 * A223533 A021973 A075498
Adjacent sequences: A078413 A078414 A078415 * A078417 A078418 A078419


KEYWORD

nonn,cons,hard,more


AUTHOR

_Gary Adamson_, Dec 28 2002


EXTENSIONS

More terms from ZQ Bai (phybai(AT)163.com), Dec 17 2007


STATUS

approved



