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A040166 Continued fraction for sqrt(180). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 14 05:08 EDT 2019. Contains 327995 sequences. (Running on oeis4.)