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A157216
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Decimal expansion of (18 + 5*sqrt(2))/(18 - 5*sqrt(2)).
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5
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2, 2, 9, 4, 0, 0, 8, 9, 0, 9, 5, 8, 8, 1, 6, 4, 6, 3, 0, 5, 9, 9, 6, 4, 9, 5, 2, 6, 8, 5, 3, 0, 8, 6, 3, 2, 8, 9, 8, 7, 3, 7, 5, 6, 8, 4, 5, 5, 4, 1, 9, 9, 4, 6, 4, 1, 3, 0, 6, 6, 5, 5, 2, 1, 3, 0, 7, 7, 8, 0, 4, 6, 0, 3, 0, 3, 5, 7, 3, 9, 6, 7, 1, 2, 7, 9, 9, 1, 8, 1, 0, 8, 7, 2, 1, 7, 3, 2, 9, 5, 9, 5, 7, 3, 0
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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) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {1, 2}, b = A129544.
lim_{n -> infinity} b(n)/b(n-1) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {0, 2}, b = A157213.
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LINKS
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EXAMPLE
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(18 + 5*sqrt(2))/(18 - 5*sqrt(2)) = 2.29400890958816463059...
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MATHEMATICA
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With[{c=5Sqrt[2]}, RealDigits[(18+c)/(18-c), 10, 120][[1]]] (* Harvey P. Dale, Dec 13 2011 *)
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PROG
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(PARI) (18+5*sqrt(2))/(18-5*sqrt(2)) \\ G. C. Greubel, Jan 27 2018
(Magma) (18+5*Sqrt(2))/(18-5*Sqrt(2)) // G. C. Greubel, Jan 27 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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