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A160201
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Decimal expansion of (1003+462*sqrt(2))/761.
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4
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2, 1, 7, 6, 5, 6, 5, 9, 2, 0, 9, 1, 5, 0, 7, 2, 1, 5, 8, 4, 0, 5, 2, 3, 0, 2, 1, 1, 0, 1, 8, 2, 3, 9, 8, 3, 2, 1, 9, 3, 4, 1, 4, 4, 6, 3, 1, 0, 6, 6, 3, 6, 0, 1, 8, 1, 4, 4, 0, 5, 5, 2, 4, 1, 7, 2, 3, 6, 7, 7, 2, 7, 3, 3, 8, 9, 6, 1, 0, 3, 1, 7, 9, 3, 5, 4, 5, 2, 0, 9, 0, 4, 8, 5, 3, 7, 5, 0, 4, 1, 5, 2, 9, 0, 0
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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 = {1, 2}, b = A122694.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160200.
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LINKS
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FORMULA
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Equals (42 +11*sqrt(2))/(42 -11*sqrt(2)).
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EXAMPLE
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(1003+462*sqrt(2))/761 = 2.17656592091507215840...
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MATHEMATICA
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RealDigits[(1003+462*Sqrt[2])/761, 10, 120][[1]] (* Harvey P. Dale, Feb 07 2016 *)
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PROG
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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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