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 A040012 Continued fraction for sqrt(17). 13
 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Decimal expansion of 22/45. - Elmo R. Oliveira, Feb 06 2024 LINKS Harry J. Smith, Table of n, a(n) for n = 0..20000 G. Xiao, Contfrac Index entries for continued fractions for constants Index to divisibility sequences Index entries for linear recurrences with constant coefficients, signature (1). FORMULA a(n) = 4*A040000(n). - Stefano Spezia, May 14 2023 From Elmo R. Oliveira, Feb 06 2024: (Start) a(n) = 8 for n >= 1. G.f.: 4*(1+x)/(1-x). E.g.f.: 8*exp(x) - 4. (End) EXAMPLE 4.123105625617660549821409855... = 4 + 1/(8 + 1/(8 + 1/(8 + 1/(8 + ...)))). - Harry J. Smith, Jun 03 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[17], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *) PadRight[{4}, 100, 8] (* Harvey P. Dale, Jun 22 2015 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 37000); x=contfrac(sqrt(17)); for (n=0, 20000, write("b040012.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009 CROSSREFS Cf. A041024/A041025 (convergents), A010473 (decimal expansion), A248245 (Egyptian fraction). Cf. A040000. Sequence in context: A200357 A201405 A331067 * A054006 A029679 A304651 Adjacent sequences: A040009 A040010 A040011 * A040013 A040014 A040015 KEYWORD nonn,cofr,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified July 25 11:18 EDT 2024. Contains 374588 sequences. (Running on oeis4.)