A010177 Continued fraction for sqrt(112).

10, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1, 2, 1, 1, 20, 1, 1

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

G.f.: (10 + x + x^2 + 2*x^3 + x^4 + x^5 + 10*x^6)/(1-x^6). - Vincenzo Librandi, Jun 13 2013

a(n) = a(n-6), n >= 7. - Vincenzo Librandi, Jun 14 2013

Mathematica

ContinuedFraction[Sqrt[112], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)
CoefficientList[Series[(10 + x + x^2 + 2 x^3 + x^4 + x^5 + 10 x^6) / (1 - x^6), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 13 2013 *)

Prog

(Magma) I:=[10, 1, 1, 2, 1, 1, 20]; [n le 7 select I[n] else Self(n-6): n in [1..80]]; // Vincenzo Librandi, Jun 14 2013

Crossrefs

Sequence in context: A070596 A306363 A347119 * A096089 A010176 A347161

Adjacent sequences: A010174 A010175 A010176 * A010178 A010179 A010180

Keyword

nonn,easy,cofr

Author

N. J. A. Sloane

Status

approved