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A159549
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Decimal expansion of (201+20*sqrt(2))/199.
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4
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1, 1, 5, 2, 1, 8, 2, 2, 6, 7, 5, 7, 5, 1, 8, 5, 4, 3, 2, 0, 4, 0, 3, 7, 0, 7, 2, 6, 0, 5, 1, 2, 2, 5, 9, 3, 7, 5, 4, 4, 6, 9, 0, 6, 4, 0, 7, 4, 1, 4, 0, 1, 8, 1, 6, 3, 9, 9, 6, 6, 6, 3, 0, 5, 3, 2, 5, 7, 0, 1, 7, 5, 6, 6, 2, 9, 3, 5, 7, 4, 9, 1, 3, 4, 1, 7, 4, 7, 4, 9, 0, 8, 8, 7, 2, 0, 0, 1, 5, 8, 0, 6, 3, 8, 2
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OFFSET
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1,3
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COMMENTS
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lim_{n -> infinity} b(n)/b(n-1) = (201+20*sqrt(2))/199 for n mod 3 = {1, 2}, b = A129993.
lim_{n -> infinity} b(n)/b(n-1) = (201+20*sqrt(2))/199 for n mod 3 = {0, 2}, b = A159548.
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LINKS
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FORMULA
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(201+20*sqrt(2))/199 = (20+sqrt(2))/(20-sqrt(2)).
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EXAMPLE
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(201+20*sqrt(2))/199 = 1.15218226757518543204...
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MAPLE
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with(MmaTranslator[Mma]): Digits:=100:
RealDigits(evalf((201+20*sqrt(2))/199))[1]; # Muniru A Asiru, Mar 31 2018
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MATHEMATICA
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RealDigits[(201+20*Sqrt[2])/199, 10, 100][[1]] (* G. C. Greubel, Mar 30 2018 *)
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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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