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A078416 Decimal expansion of Viswanath's constant. 8
1, 1, 3, 1, 9, 8, 8, 2, 4, 8, 7, 9, 4, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(-8) is 7, 8 or 9 (Oliveria et al) - R. J. Mathar, Apr 13 2006

a(-13) is probably 0. - ZQ Bai (phybai(AT)163.com), Dec 17 2007

REFERENCES

Zai-Qiao Bai, 2007, On the cycle expansion for the Lyapunov exponent of a product of random matrices, J. Phys. A: Math. Theo. 40: 8315-8328

K. Devlin, "How Recreational Mathematics Can Save The World" in 'The Puzzler's Tribute' Ed. D. Wolfe & T. Rodgers pp. 351-9 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), 2471-2485.

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

J. B. Oliveira and L. H de Figueiredo, Interval computation of Viswanath's constant,Reliable Computing 8 (2002) no 2, 131-138

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), 1131-1155.

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

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Last modified April 24 09:00 EDT 2014. Contains 240957 sequences.