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A010197 Continued fraction for sqrt(138). 1
11, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

FORMULA

a(n) = (1/6)*(-25*(n mod 4) + 8*((n+1) mod 4) + 5*((n+2) mod 4) + 38*((n+3) mod 4)) - 11*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009

MATHEMATICA

ContinuedFraction[Sqrt[138], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011 *)

CROSSREFS

Sequence in context: A015125 A290552 A159861 * A010196 A039617 A229186

Adjacent sequences:  A010194 A010195 A010196 * A010198 A010199 A010200

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 8 21:44 EDT 2020. Contains 333329 sequences. (Running on oeis4.)