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A157470
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Decimal expansion of (99+14*sqrt(2))/97.
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4
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1, 2, 2, 4, 7, 3, 1, 8, 5, 4, 3, 6, 3, 1, 2, 7, 1, 2, 0, 4, 4, 5, 6, 0, 4, 5, 5, 8, 1, 3, 3, 3, 5, 8, 4, 8, 5, 5, 6, 6, 7, 5, 6, 7, 6, 5, 5, 1, 8, 3, 2, 2, 4, 0, 2, 3, 1, 4, 1, 5, 9, 9, 6, 2, 1, 8, 4, 2, 2, 9, 4, 2, 9, 8, 8, 1, 1, 2, 8, 8, 5, 0, 9, 6, 8, 0, 9, 7, 1, 6, 9, 9, 0, 2, 9, 5, 8, 5, 7, 7, 5, 0, 8, 1, 4
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OFFSET
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1,2
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COMMENTS
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lim_{n -> infinity} b(n)/b(n-1) = (99+14*sqrt(2))/97 for n mod 3 = {1, 2}, b = A129836.
lim_{n -> infinity} b(n)/b(n-1) = (99+14*sqrt(2))/97 for n mod 3 = {0, 2}, b = A157469.
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LINKS
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FORMULA
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(99+14*sqrt(2))/97 = (14+sqrt(2))/(14-sqrt(2))).
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EXAMPLE
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(99+14*sqrt(2))/97 = 1.22473185436312712044...
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MAPLE
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with(MmaTranslator[Mma]): Digits:=100:
RealDigits(evalf((99+14*sqrt(2))/97))[1]; # Muniru A Asiru, Mar 31 2018
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MATHEMATICA
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RealDigits[(99+14*Sqrt[2])/97, 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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