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A157350
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Decimal expansion of (130803 + 73738*sqrt(2))/281^2.
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4
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2, 9, 7, 7, 2, 2, 0, 1, 4, 2, 3, 7, 7, 4, 6, 8, 4, 0, 4, 7, 6, 3, 6, 0, 3, 8, 4, 4, 2, 4, 9, 3, 7, 2, 6, 8, 9, 2, 7, 1, 5, 4, 5, 0, 0, 0, 0, 1, 9, 5, 7, 1, 6, 4, 9, 5, 4, 7, 2, 7, 0, 3, 0, 4, 5, 8, 0, 2, 4, 3, 8, 1, 0, 1, 9, 5, 3, 9, 8, 3, 4, 6, 4, 0, 8, 3, 5, 1, 9, 2, 0, 6, 4, 7, 5, 5, 5, 5, 5, 6, 4, 1, 8, 1, 6
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OFFSET
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1,1
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COMMENTS
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lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 0, b = A129626.
lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 1, b = A157348.
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LINKS
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FORMULA
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(130803 + 73738*sqrt(2))/281^2 = (458 + 161*sqrt(2))/(458 - 161*sqrt(2)) = (3 + 2*sqrt(2))*(17 - 2*sqrt(2))^2/(17 + 2*sqrt(2))^2.
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EXAMPLE
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(130803 + 73738*sqrt(2))/281^2 = 2.97722014237746840476...
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MATHEMATICA
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RealDigits[(130803 + 73738*Sqrt[2])/281^2, 10, 100][[1]] (* G. C. Greubel, Feb 01 2018 *)
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PROG
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(PARI) (130803+73738*sqrt(2))/281^2 \\ G. C. Greubel, Feb 01 2018
(Magma) (130803+73738*Sqrt(2))/281^2 // G. C. Greubel, Feb 01 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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