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A181313
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Continued fraction expansion of the Fibonacci binary number.
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4
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1, 2, 2, 3, 2, 28, 1, 13, 1, 2, 1, 123, 1, 6, 1, 2039, 2, 2, 6, 262111, 1, 35, 1, 1, 3, 536870655, 1, 2, 1, 15, 1, 3, 3, 1, 1, 1, 2, 140737488347135, 1, 1, 1, 1, 1, 127, 1, 7, 7, 1, 5, 2, 2, 75557863725914321321983, 1, 1, 2, 5, 1, 2047, 2, 2, 5, 1, 31, 6, 1, 1, 3, 2, 2
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OFFSET
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1,2
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COMMENTS
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Essentially the same as A125600. - R. J. Mathar, Oct 14 2010
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LINKS
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Charles R Greathouse IV, Table of n, a(n) for n = 1..639
D. Bailey, J. Borwein, R. Crandall, and C. Pomerance, On the binary expansions of algebraic numbers, Journal de Théorie des Nombres de Bordeaux 16 (2004), 487-518.
J. H. Loxton and A. van der Poorten, Arithmetic properties of certain functions in several variables III, Bulletin of the Australian Mathematical Society, Volume 16, Issue 01, February 1977, pp 15-47.
J. Shallit and A. van der Poorten, A specialised continued fraction, Can. J. Math. 45 (1993), 1067-79.
Alf van der Poorten, In thrall to Fibonacci
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PROG
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(PARI) contfrac(suminf(n=1, 2.^-fibonacci(n)))
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CROSSREFS
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Cf. A084119 (decimal expansion), A125600 (essentially the same), A006518.
Sequence in context: A127012 A125503 A127009 * A334515 A164089 A300290
Adjacent sequences: A181310 A181311 A181312 * A181314 A181315 A181316
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KEYWORD
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cofr,nonn
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AUTHOR
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Charles R Greathouse IV, Oct 12 2010
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STATUS
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approved
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