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Search: id:A078416
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| A078416 |
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Decimal expansion of Viswanath's constant. |
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+0
6
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| 1, 1, 3, 1, 9, 8, 8, 2, 4, 8, 7, 9, 4, 3
(list; cons; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(10) is 7, 8 or 9 (Oliveria et al) - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 13 2006
a(15) 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.
D. Viswanath, Random Fibonacci sequences and the number 1.13198824.... Mathematics of Computation, Vol. 69, no. 231 (2000), 1131-1155.
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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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
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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1.13198824....
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CROSSREFS
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Cf. A115064.
Sequence in context: A088640 A114195 A016601 this_sequence A021973 A075498 A105729
Adjacent sequences: A078413 A078414 A078415 this_sequence A078417 A078418 A078419
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KEYWORD
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nonn,cons,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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