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Numerators of the coefficients in the Taylor expansion of the Lyapunov exponent for the Random Fibonacci sequence.
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%I #14 Dec 23 2023 14:40:55

%S 1,7,58,555,5686,61510,692084,8029491,95474398,1158542962,14301359788,

%T 59716352682,2272903748636,29160850916204,377850135826408,

%U 4939485500738195,65088291655161454,863887932803327098,11541609784040120316,170640229753234495001

%N Numerators of the coefficients in the Taylor expansion of the Lyapunov exponent for the Random Fibonacci sequence.

%C Expanding the Lyapunov exponent (c(beta)) as a power series in beta yields

%C c(beta) = -Sum_{n>=1} a(n)*beta^(2n)/(2n).

%D M. Embree and L. N. Trefethen, "Growth and decay of Random Fibonacci Sequences". Royal Society, Vol. 455, Issue 1987: 2471-2485 (1999).

%D C. Sire and P. L. Krapivsky, "Random Fibonacci Sequences". Journal of Physics A: Mathematical and General, Vol. 34 Issue 42: 9065-9083 (2001).

%K nonn

%O 1,2

%A _Richard Mason_, Nov 14 2023