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A190261
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Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2).
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2
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1, 2, 11, 32, 1, 4, 10, 2, 1, 1, 3, 1, 1, 5, 2, 3, 2, 1, 4, 2, 3, 2, 41, 1, 2, 1, 1, 3, 4, 1, 35, 1, 5, 1, 29661, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 5, 15, 2, 1, 1, 1, 2, 7, 1, 1, 1, 13, 1, 1, 1, 1, 20, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 14, 1, 8, 2, 1, 1, 1, 1, 2, 1, 3, 2, 3, 1, 8, 2
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OFFSET
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1,2
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COMMENTS
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LINKS
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MATHEMATICA
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r=2^(1/2);
FromContinuedFraction[{1, r, {1, r}}]
FullSimplify[%]
ContinuedFraction[%, 100] (* A190261 *)
RealDigits[N[%%, 120]] (* A190260 *)
N[%%%, 40]
ContinuedFraction[(1+Sqrt[1+2Sqrt[2]])/2, 100] (* Harvey P. Dale, Jan 27 2013 *)
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PROG
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(PARI) contfrac((1+sqrt(1+2*sqrt(2)))/2) \\ G. C. Greubel, Dec 26 2017
(Magma) ContinuedFraction((1+Sqrt(1+2*Sqrt(2)))/2) // G. C. Greubel, Dec 26 2017
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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STATUS
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approved
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