The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A010173 Continued fraction for sqrt(107). 4
 10, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1, 9, 1, 2, 20, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..999 G. Xiao, Contfrac Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1). FORMULA a(n) = (1/18)*(-47*(n mod 6) + 4*((n+1) mod 6) + 31*((n+2) mod 6) - 17*((n+3) mod 6) + 10*((n+4) mod 6) + 61*((n+5) mod 6)) - 10*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009 G.f.: (-10*x^6 - 2*x^5 - x^4 - 9*x^3 - x^2 - 2*x - 10)/(x^6 - 1). - Chai Wah Wu, Oct 02 2021 MATHEMATICA ContinuedFraction[Sqrt[107], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *) PROG (Python) from sympy import sqrt from sympy.ntheory.continued_fraction import continued_fraction_iterator def aupton(terms): gen = continued_fraction_iterator(sqrt(107)) return [next(gen) for i in range(terms)] print(aupton(82)) # Michael S. Branicky, Oct 02 2021 CROSSREFS Cf. A177935 (decimal expansion), A041192/A041193 (convergents). Sequence in context: A040097 A010174 A073755 * A357339 A259712 A343103 Adjacent sequences: A010170 A010171 A010172 * A010174 A010175 A010176 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 28 03:48 EDT 2023. Contains 361577 sequences. (Running on oeis4.)