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A367321
Numerators of the coefficients in the Taylor expansion of the Lyapunov exponent for the Random Fibonacci sequence.
0
1, 7, 58, 555, 5686, 61510, 692084, 8029491, 95474398, 1158542962, 14301359788, 59716352682, 2272903748636, 29160850916204, 377850135826408, 4939485500738195, 65088291655161454, 863887932803327098, 11541609784040120316, 170640229753234495001
OFFSET
1,2
COMMENTS
Expanding the Lyapunov exponent (c(beta)) as a power series in beta yields
c(beta) = -Sum_{n>=1} a(n)*beta^(2n)/(2n).
REFERENCES
M. Embree and L. N. Trefethen, "Growth and decay of Random Fibonacci Sequences". Royal Society, Vol. 455, Issue 1987: 2471-2485 (1999).
C. Sire and P. L. Krapivsky, "Random Fibonacci Sequences". Journal of Physics A: Mathematical and General, Vol. 34 Issue 42: 9065-9083 (2001).
CROSSREFS
Sequence in context: A081343 A163048 A318233 * A192940 A126130 A323254
KEYWORD
nonn
AUTHOR
Richard Mason, Nov 14 2023
STATUS
approved