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A160585
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Decimal expansion of (520659 +314170*sqrt(2))/521^2.
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4
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3, 5, 5, 4, 9, 6, 2, 1, 2, 7, 6, 4, 7, 4, 6, 3, 9, 8, 4, 7, 4, 0, 7, 9, 6, 5, 1, 3, 7, 3, 5, 8, 0, 5, 7, 3, 8, 0, 5, 8, 1, 1, 8, 7, 5, 5, 4, 0, 9, 7, 4, 1, 9, 9, 2, 3, 6, 6, 3, 6, 1, 2, 8, 3, 9, 7, 9, 0, 1, 7, 2, 5, 5, 1, 6, 2, 0, 4, 3, 2, 0, 0, 5, 3, 2, 0, 7, 2, 3, 5, 3, 3, 2, 8, 0, 3, 5, 0, 1, 6, 4, 7, 1, 9, 3
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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 = A129725.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160583.
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LINKS
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FORMULA
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Equals (890 +353*sqrt(2))/(890 -353*sqrt(2)).
Equals (3 +2*sqrt(2))*(23 -2*sqrt(2))^2/(23 +2*sqrt(2))^2.
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EXAMPLE
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(520659 +314170*sqrt(2))/521^2 = 3.55496212764746398474...
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MAPLE
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with(MmaTranslator[Mma]): Digits:=150:
RealDigits(evalf((520659+314170*sqrt(2))/521^2))[1]; # Muniru A Asiru, Apr 08 2018
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MATHEMATICA
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RealDigits[(520659+314170Sqrt[2])/521^2, 10, 120][[1]] (* Harvey P. Dale, Aug 23 2011 *)
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PROG
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(PARI) (520659 +314170*sqrt(2))/521^2 \\ G. C. Greubel, Apr 07 2018
(Magma) (520659 +314170*Sqrt(2))/521^2; // G. C. Greubel, Apr 07 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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