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A010196 Continued fraction for sqrt(137). 1
11, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1, 2, 2, 1, 22, 1, 2, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..77.

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

FORMULA

a(n) = (1/162)*(-361*(n mod 9) + 35*((n+1) mod 9) + 17*((n+2) mod 9) - ((n+3) mod 9) + 17*((n+4) mod 9) + 35*((n+5) mod 9) + 17*((n+6) mod 9) - ((n+7) mod 9) + 395*((n+8) mod 9)) - 11*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009

MATHEMATICA

ContinuedFraction[Sqrt[137], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)

CROSSREFS

Sequence in context: A290552 A159861 A010197 * A039617 A229186 A214676

Adjacent sequences:  A010193 A010194 A010195 * A010197 A010198 A010199

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 8 02:18 EDT 2020. Contains 333312 sequences. (Running on oeis4.)