A010181 Continued fraction for sqrt(116).

10, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2, 3, 1, 20, 1, 3, 2, 1, 4, 1, 2

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 (0,0,0,0,0,0,0,0,0,1).

Formula

G.f.: (10 + x + 3*x^2 + 2*x^3 + x^4 + 4*x^5 + x^6 + 2*x^7 + 3*x^8 + x^9 + 10*x^10)/(1-x^10). [Bruno Berselli, Jun 13 2013]

Mathematica

ContinuedFraction[Sqrt[116], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)
PadRight[{10}, 100, {20, 1, 3, 2, 1, 4, 1, 2, 3, 1}] (* Harvey P. Dale, Jul 27 2015 *)

Crossrefs

Sequence in context: A010179 A174209 A366165 * A111525 A138261 A068126

Adjacent sequences: A010178 A010179 A010180 * A010182 A010183 A010184

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved