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A176453
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Decimal expansion of 4+2*sqrt(5).
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2
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8, 4, 7, 2, 1, 3, 5, 9, 5, 4, 9, 9, 9, 5, 7, 9, 3, 9, 2, 8, 1, 8, 3, 4, 7, 3, 3, 7, 4, 6, 2, 5, 5, 2, 4, 7, 0, 8, 8, 1, 2, 3, 6, 7, 1, 9, 2, 2, 3, 0, 5, 1, 4, 4, 8, 5, 4, 1, 7, 9, 4, 4, 9, 0, 8, 2, 1, 0, 4, 1, 8, 5, 1, 2, 7, 5, 6, 0, 9, 7, 9, 8, 8, 2, 8, 8, 2, 8, 8, 1, 6, 7, 5, 7, 5, 6, 4, 5, 4, 9, 9, 3, 9, 0, 1
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OFFSET
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1,1
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COMMENTS
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Continued fraction expansion of 4+2*sqrt(5) is A010698 preceded by 8.
Rajan (2010) claims the variance of a discrete distribution generated by the linear convolution of Fibonacci sequence with itself, saturates to a constant of value 8.4721359. [From Jonathan Vos Post, May 10 2010]
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LINKS
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EXAMPLE
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4+2*sqrt(5) = 8.47213595499957939281...
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MATHEMATICA
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RealDigits[4+2Sqrt[5], 10, 120][[1]] (* Harvey P. Dale, Sep 08 2018 *)
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CROSSREFS
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Cf. A002163 (decimal expansion of sqrt(5)), A010476 (decimal expansion of sqrt(20)), A020762 (decimal expansion of 1/sqrt(5)), A134974 (decimal expansion of 8/(1+sqrt(5))), A010698 (repeat 2, 8).
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KEYWORD
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AUTHOR
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STATUS
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approved
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