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A078416
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Decimal expansion of Viswanath's constant.
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8
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1, 1, 3, 1, 9, 8, 8, 2, 4, 8, 7, 9, 4, 3
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OFFSET
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1,3
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COMMENTS
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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
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REFERENCES
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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.
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.
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
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LINKS
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Table of n, a(n) for n=1..14.
K. Devlin, New mathematical constant discovered.
E. Makover & J. McGowan, An elementary proof that random Fibonacci sequences grow exponentially
I. Peterson, Fibonacci at random
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
Brian Hayes, The Vibonacci Numbers
J. B. Oliveira and L. H de Figueiredo, Interval computation of Viswanath's constant,Reliable Computing 8 (2002) no 2, 131-138
I. Peterson, Math Trek, Stepping Beyond Fibonacci Numbers
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EXAMPLE
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1.1319882487943....
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CROSSREFS
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Cf. A115064.
Sequence in context: A185948 A016601 A193031 * A223533 A021973 A075498
Adjacent sequences: A078413 A078414 A078415 * A078417 A078418 A078419
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KEYWORD
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nonn,cons,hard,more
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AUTHOR
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Gary Adamson, Dec 28 2002
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EXTENSIONS
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More terms from ZQ Bai (phybai(AT)163.com), Dec 17 2007
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STATUS
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approved
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