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A159550
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Decimal expansion of (91443+58282*sqrt(2))/199^2.
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4
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4, 3, 9, 0, 4, 4, 9, 6, 0, 5, 8, 7, 4, 3, 1, 4, 4, 2, 7, 2, 6, 8, 5, 0, 3, 8, 8, 1, 8, 3, 1, 0, 0, 4, 8, 5, 8, 8, 4, 6, 9, 3, 8, 6, 1, 8, 7, 3, 9, 9, 1, 2, 8, 2, 0, 4, 0, 5, 6, 2, 7, 3, 4, 5, 0, 0, 5, 8, 2, 9, 9, 1, 1, 1, 0, 6, 5, 0, 0, 4, 0, 2, 4, 7, 1, 6, 1, 1, 4, 8, 1, 4, 1, 9, 2, 4, 7, 1, 4, 3, 8, 1, 3, 0, 8
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OFFSET
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1,1
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COMMENTS
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lim_{n -> infinity} b(n)/b(n-1) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 0, b = A129993.
lim_{n -> infinity} b(n)/b(n-1) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 1, b = A159548.
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LINKS
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FORMULA
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(91443+58282*sqrt(2))/199^2 = (362+161*sqrt(2))/(362-161*sqrt(2))
= (3+2*sqrt(2))*(20-sqrt(2))^2/(20+sqrt(2))^2.
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EXAMPLE
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(91443+58282*sqrt(2))/199^2 = 4.39044960587431442726...
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MAPLE
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with(MmaTranslator[Mma]): Digits:=100:
RealDigits(evalf((91443+58282*sqrt(2))/199^2))[1]; # Muniru A Asiru, Mar 31 2018
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MATHEMATICA
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RealDigits[(91443+58282Sqrt[2])/199^2, 10, 120][[1]] (* Harvey P. Dale, Sep 23 2012 *)
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PROG
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(PARI) (91443 + 58282*sqrt(2))/199^2 \\ G. C. Greubel, Mar 30 2018
(Magma) (91443 + 58282*Sqrt(2))/199^2; // G. C. Greubel, Mar 30 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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