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



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


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.


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, 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




Cf. A115064.

Sequence in context: A185948 A016601 A193031 * A223533 A021973 A075498

Adjacent sequences:  A078413 A078414 A078415 * A078417 A078418 A078419




Gary W. Adamson, Dec 28 2002


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



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Last modified February 27 06:46 EST 2015. Contains 255006 sequences.