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A091899
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Decimal expansion of (1+sqrt(5)+sqrt(2*(5+sqrt(5))))/(2*e^((2*Pi)/5)).
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2
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1, 0, 0, 1, 8, 6, 7, 4, 3, 6, 2, 1, 9, 3, 1, 8, 6, 0, 6, 0, 7, 7, 2, 2, 7, 6, 8, 0, 4, 2, 4, 1, 5, 7, 0, 8, 7, 1, 2, 2, 4, 2, 4, 1, 2, 7, 4, 2, 7, 4, 9, 7, 0, 5, 4, 5, 0, 0, 1, 3, 0, 1, 9, 0, 2, 1, 0, 9, 4, 9, 7, 9, 8, 9, 0, 9, 5, 6, 2, 8, 2, 5, 7, 1, 2, 9, 3, 8, 2, 5, 0, 3, 5, 3, 0, 9, 9, 9, 6, 2, 5, 5
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OFFSET
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1,5
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COMMENTS
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Has a nice (non-simple) continued fraction due to Ramanujan.
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LINKS
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FORMULA
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EXAMPLE
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1.00186743...
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MATHEMATICA
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RealDigits[(1 +Sqrt[5] +Sqrt[2*(5 +Sqrt[5])])/(2*Exp[(2*Pi)/5]), 10, 100][[1]] (* G. C. Greubel, Sep 27 2018 *)
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PROG
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(PARI) default(realprecision, 100); (1 +sqrt(5) +sqrt(2*(5 +sqrt(5))))/( 2*exp((2*Pi)/5)) \\ G. C. Greubel, Sep 27 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (1 +Sqrt(5) +Sqrt(2*(5 +Sqrt(5))))/(2*Exp((2*Pi(R))/5)); // G. C. Greubel, Sep 27 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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