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 A190261 Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2). 2
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 1 followed by A190259. LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 MATHEMATICA 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 *) PROG (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 CROSSREFS Cf. A190260, A190259. Sequence in context: A296733 A087933 A190259 * A000755 A183460 A033994 Adjacent sequences:  A190258 A190259 A190260 * A190262 A190263 A190264 KEYWORD nonn,cofr AUTHOR Clark Kimberling, May 06 2011 STATUS approved

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Last modified October 21 14:13 EDT 2019. Contains 328301 sequences. (Running on oeis4.)