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A161489
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Decimal expansion of (52323 + 26522*sqrt(2))/191^2.
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4
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2, 4, 6, 2, 3, 9, 8, 8, 4, 0, 5, 2, 6, 8, 2, 8, 4, 0, 0, 6, 5, 5, 6, 3, 9, 6, 0, 2, 6, 2, 8, 4, 8, 0, 9, 1, 9, 9, 2, 6, 1, 2, 1, 4, 7, 3, 6, 0, 9, 4, 7, 9, 3, 6, 7, 2, 5, 3, 9, 6, 5, 0, 7, 8, 0, 1, 2, 9, 4, 3, 9, 1, 0, 3, 5, 8, 0, 4, 9, 4, 7, 4, 6, 4, 1, 3, 1, 9, 5, 4, 1, 2, 8, 0, 0, 5, 5, 6, 3, 9, 7, 0, 4, 9, 9
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OFFSET
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1,1
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COMMENTS
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Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A161486.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A161487.
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LINKS
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FORMULA
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Equals (298 + 89*sqrt(2))/(298 - 89*sqrt(2)).
Equals (3 + 2*sqrt(2))*(20 - 3*sqrt(2))^2/(20 + 3*sqrt(2))^2.
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EXAMPLE
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(52323 + 26522*sqrt(2))/191^2 = 2.46239884052682840065...
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MATHEMATICA
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RealDigits[(52323+26522*Sqrt[2])/191^2, 10, 100][[1]] (* G. C. Greubel, Apr 06 2018 *)
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PROG
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(PARI) (52323 + 26522*sqrt(2))/191^2 \\ G. C. Greubel, Apr 06 2018
(Magma) (52323 + 26522*Sqrt(2))/191^2; // G. C. Greubel, Apr 06 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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