A040118 Continued fraction for sqrt(130).

11, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22

Offset

0,1

Links

Table of n, a(n) for n=0..69.

Index entries for continued fractions for constants

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

Formula

a(n)=(1/9)*{-34*(n mod 3)+26*[(n+1) mod 3]+86*[(n+2) mod 3]}-11*[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[130], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)

Crossrefs

Sequence in context: A261353 A087774 A322562 * A099268 A070277 A109864

Adjacent sequences: A040115 A040116 A040117 * A040119 A040120 A040121

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved