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 A040020 Continued fraction for sqrt(26). 8
 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Harry J. Smith, Table of n, a(n) for n = 0..20000 G. Xiao, Contfrac Index entries for continued fractions for constants Index entries for linear recurrences with constant coefficients, signature (1). FORMULA From Elmo R. Oliveira, Feb 06 2024: (Start) a(n) = 10 for n >= 1. G.f.: 5*(1+x)/(1-x). E.g.f.: 10*exp(x) - 5. a(n) = 5*A040000(n). (End) EXAMPLE 5.09901951359278483002822... = 5 + 1/(10 + 1/(10 + 1/(10 + 1/(10 + ...)))). - Harry J. Smith, Jun 03 2009 MAPLE numtheory[cfrac](sqrt(26), 100, 'quotients'); # obsolete code updated by Alois P. Heinz, Feb 24 2018 MATHEMATICA ContinuedFraction[Sqrt[26], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *) PadRight[{5}, 120, {10}] (* Harvey P. Dale, Apr 22 2021 *) PROG (PARI) contfrac(sqrt(26)) \\ Harry J. Smith, Jun 03 2009 [Edited by M. F. Hasler, Feb 24 2018] (PARI) A040020(n)=if(n, 10, 5) \\ M. F. Hasler, Feb 24 2018 CROSSREFS Cf. A010481 (decimal expansion), A041040/A041041 (convergents), A248253 (Egyptian fraction). Cf. A040000. Sequence in context: A346007 A135912 A200990 * A222181 A282172 A123337 Adjacent sequences: A040017 A040018 A040019 * A040021 A040022 A040023 KEYWORD nonn,cofr,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified August 13 01:56 EDT 2024. Contains 375113 sequences. (Running on oeis4.)