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Search: id:A115064
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| A115064 |
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Continued fraction expansion of Viswanath's constant (also known as the random Fibonacci constant). |
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+0
3
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| 1, 7, 1, 1, 2, 1, 3, 2, 1, 2, 1, 9, 2, 1, 13
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 70.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
K. Devlin, New Mathematical Constant Discovered
I. Peterson, Math Trek, Stepping Beyond Fibonacci Numbers
Shane Findley; ViswanathsCurve
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FORMULA
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Each continued fraction term is either an odd number, or is the sequence of 2,1. Most of the digits produced by the continued fraction will match digit strings in the golden ratio!
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EXAMPLE
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...3 2 1 2 1 9 2 1 13,...
Three, nine and thirteen because they are odd.
Two and one because they are in sequence.
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CROSSREFS
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Cf. A001622, A078416.
Sequence in context: A091258 A072101 A088840 this_sequence A086868 A090269 A086867
Adjacent sequences: A115061 A115062 A115063 this_sequence A115065 A115066 A115067
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KEYWORD
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nonn,uned
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AUTHOR
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Shane Findley (divineprime(AT)yahoo.com), Mar 01 2006
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