A040166 Continued fraction for sqrt(180).

13, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2

Offset

0,1

Links

Table of n, a(n) for n=0..71.

Index entries for continued fractions for constants

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

Formula

a(n)=(1/3)*{-14*(n mod 4)+4*[(n+1) mod 4]+4*[(n+2) mod 4]+22*[(n+3) mod 4]}-13*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 10 2009]

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[180], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 26 2011*)
PadRight[{13}, 100, {26, 2, 2, 2}] (* Harvey P. Dale, Sep 13 2014 *)

Crossrefs

Sequence in context: A010222 A086266 A217436 * A100395 A051310 A010224

Adjacent sequences: A040163 A040164 A040165 * A040167 A040168 A040169

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved