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A160205
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Decimal expansion of (989043+524338*sqrt(2))/809^2.
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4
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2, 6, 4, 4, 1, 8, 5, 1, 0, 3, 7, 1, 9, 7, 1, 6, 7, 0, 9, 4, 2, 1, 0, 2, 1, 9, 4, 2, 9, 9, 7, 0, 6, 8, 9, 3, 1, 1, 3, 9, 4, 2, 8, 9, 7, 0, 1, 1, 7, 3, 8, 7, 9, 7, 4, 2, 7, 7, 8, 0, 7, 7, 5, 9, 8, 2, 5, 8, 5, 3, 8, 9, 9, 9, 4, 7, 9, 9, 5, 8, 6, 3, 1, 9, 0, 4, 2, 7, 9, 8, 6, 4, 1, 1, 0, 4, 4, 6, 7, 0, 4, 5, 6, 0, 2
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OFFSET
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11,1
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COMMENTS
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Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A123654.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160203.
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LINKS
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FORMULA
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Equals (1282 +409*sqrt(2))/(1282 -409*sqrt(2)).
Equals (3+2*sqrt(2))*(29-4*sqrt(2))^2/(29+4*sqrt(2))^2.
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EXAMPLE
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(989043+524338*sqrt(2))/809^2 = 2.64418510371971670942...
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MATHEMATICA
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RealDigits[(989043+524338*Sqrt[2])/809^2, 10, 100][[1]] (* G. C. Greubel, Apr 25 2018 *)
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PROG
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(PARI) (989043+524338*sqrt(2))/809^2 \\ G. C. Greubel, Apr 25 2018
(Magma) (989043+524338*Sqrt(2))/809^2; // G. C. Greubel, Apr 25 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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