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A010179 Continued fraction for sqrt(114). 1
10, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10, 2, 1, 20, 1, 2, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

FORMULA

a(n) = (1/30)*(-83*(n mod 6) + 17*((n+1) mod 6) + 52*((n+2) mod 6) - 28*((n+3) mod 6) + 7*((n+4) mod 6) + 107*((n+5) mod 6)) - 10*(C(2*n,n) mod 2). [Paolo P. Lava, Jul 24 2009]

G.f.: (10 + x + 2*x^2 + 10*x^3 + 2*x^4 + x^5 + 10*x^6)/(1 - x^6). [Bruno Berselli, Jun 13 2013]

MATHEMATICA

ContinuedFraction[Sqrt[114], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)

CROSSREFS

Sequence in context: A085764 A090555 A283393 * A174209 A010181 A111525

Adjacent sequences:  A010176 A010177 A010178 * A010180 A010181 A010182

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 18:11 EDT 2019. Contains 328037 sequences. (Running on oeis4.)