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A190282
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Continued fraction of (1+sqrt(1+r))/r, where r=sqrt(2).
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4
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1, 1, 4, 6, 1, 2, 2, 2, 1, 1, 6, 1, 179, 46, 1, 1, 3, 2, 1, 1, 3, 6, 3, 1, 1, 1, 1, 2, 1, 1, 56, 1, 1, 1, 1, 66, 1, 1, 2, 17, 8, 2, 7, 12, 1, 1, 8, 1, 2, 2, 1, 1, 2, 1, 12, 1, 2, 2, 2, 2, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 2, 5, 1, 6, 8, 1, 1, 1, 2, 7, 1, 9, 1, 2, 5, 7, 1, 6, 1, 10, 1
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OFFSET
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1,3
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COMMENTS
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Equivalent to the periodic continued fraction [r,2,r,2,...] where r=sqrt(2). For geometric interpretations of both continued fractions, see A190281 and A188635.
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LINKS
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MATHEMATICA
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ContinuedFraction[(1 + Sqrt[1 + Sqrt[2]])/Sqrt[2], 50] (* G. C. Greubel, Jan 31 2018 *)
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PROG
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(PARI) contfrac((1 + sqrt(1 + sqrt(2)))/sqrt(2)) \\ G. C. Greubel, Jan 31 2018
(Magma) ContinuedFraction((1 + Sqrt(1 + Sqrt(2)))/Sqrt(2)); // G. C. Greubel, Jan 31 2018
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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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