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A157472
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Decimal expansion of (627 + 238*sqrt(2))/23^2.
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3
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1, 8, 2, 1, 5, 1, 7, 6, 3, 2, 9, 7, 6, 9, 3, 1, 2, 3, 1, 7, 8, 6, 0, 1, 4, 9, 6, 4, 7, 6, 7, 3, 1, 2, 1, 7, 9, 0, 1, 6, 2, 2, 2, 8, 8, 5, 3, 3, 0, 2, 7, 1, 5, 3, 3, 8, 6, 7, 7, 6, 8, 9, 5, 5, 8, 4, 4, 6, 0, 1, 7, 5, 7, 7, 9, 5, 8, 0, 6, 1, 9, 1, 3, 9, 2, 0, 4, 5, 8, 0, 9, 3, 9, 5, 0, 4, 4, 7, 9, 0, 7, 5, 7, 9, 0
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OFFSET
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1,2
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LINKS
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FORMULA
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Equals (34 + 7*sqrt(2))/(34 - 7*sqrt(2)) = (3+2*sqrt(2))*(10- 2*sqrt(2) )^2/(10+2*sqrt(2))^2.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, where b is A118337.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, where b is A156567.
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EXAMPLE
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(627 + 238*sqrt(2))/23^2 = 1.82151763297693123178...
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MATHEMATICA
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RealDigits[(627+238Sqrt[2])/23^2, 10, 120][[1]] (* Harvey P. Dale, Feb 03 2015 *)
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PROG
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(Magma) SetDefaultRealField(RealField(100)); (627+238*sqrt(2))/23^2; // G. C. Greubel, Aug 17 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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