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 A188627 Continued fraction of e+sqrt(e^2-1). 3
 5, 4, 15, 6, 1, 13, 2, 1, 1, 21, 3, 2, 16, 1, 4, 1, 1, 157, 1, 9, 1, 3, 1, 5, 1, 2, 1, 3, 1, 1, 1, 1, 11, 1, 1, 22, 1, 9, 1, 1, 1, 1, 12, 1, 7, 6, 1, 3, 2, 8, 1, 1, 1, 1, 4, 2, 3, 1, 10, 17, 1, 2, 1, 5, 8, 1, 2, 1, 6, 1, 12, 1, 39, 16, 14, 1, 46, 72, 16, 3, 1, 1, 5, 2, 1, 5, 2, 1, 10, 4, 2, 2, 3, 2, 1, 3, 2, 2, 27, 10, 4, 2, 8, 1, 2, 6, 3, 945, 1, 1, 106, 1, 1, 3, 1, 2, 6, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 FORMULA e+sqrt(e^2-1)) = 5.2459400... = A188739. MATHEMATICA r = 2 E; t = (r + (-4 + r^2)^(1/2))/2; FullSimplify[t] N[t, 130] RealDigits[N[t, 130]][[1]] (* A188739 *) ContinuedFraction[t, 120] (* A188627 *) PROG (PARI) default(realprecision, 100); contfrac(exp(1) + sqrt(exp(2) - 1)) \\ G. C. Greubel, Nov 01 2018 (MAGMA) SetDefaultRealField(RealField(100)); ContinuedFraction(Exp(1) + Sqrt(Exp(2) - 1)); // G. C. Greubel, Nov 01 2018 CROSSREFS Cf. A188739. Sequence in context: A107984 A133178 A154225 * A203976 A213566 A143129 Adjacent sequences:  A188624 A188625 A188626 * A188628 A188629 A188630 KEYWORD nonn,cofr AUTHOR Clark Kimberling, Apr 11 2011 STATUS approved

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Last modified October 18 15:21 EDT 2019. Contains 328162 sequences. (Running on oeis4.)