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 A040110 Continued fraction for sqrt(122). 5
 11, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..53. Index entries for continued fractions for constants Index entries for linear recurrences with constant coefficients, signature (1). FORMULA From Elmo R. Oliveira, Feb 11 2024: (Start) a(n) = 22 for n >= 1. G.f.: 11*(1+x)/(1-x). E.g.f.: 22*exp(x) - 11. a(n) = 11*A040000(n). (End) EXAMPLE 11 + 1/(22 + 1/(22 + 1/(22 + 1/(22 + ...)))) = sqrt(122). MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[122], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*) CROSSREFS Cf. A040000, A041220/A041221 (convergents). Sequence in context: A138838 A139337 A231115 * A140452 A048136 A180054 Adjacent sequences: A040107 A040108 A040109 * A040111 A040112 A040113 KEYWORD nonn,cofr,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)