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A010192 Continued fraction for sqrt(133). 0
11, 1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1, 1, 22, 1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1, 1, 22, 1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1, 1, 22, 1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1, 1, 22, 1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..78.

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, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n) = (1/960)*(-1231*(n mod 16) + 29*((n+1) mod 16) + 389*((n+2) mod 16) - 91*((n+3) mod 16) - 211*((n+4) mod 16) + 29*((n+5) mod 16) + 29*((n+6) mod 16) + 89*((n+7) mod 16) - 31*((n+8) mod 16) + 29*((n+9) mod 16) + 29*((n+10) mod 16) + 269*((n+11) mod 16) + 149*((n+12) mod 16) - 331*((n+13) mod 16) + 29*((n+14) mod 16) + 1289*((n+15) mod 16)) - 11*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009

MATHEMATICA

ContinuedFraction[Sqrt[133], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)

CROSSREFS

Sequence in context: A010195 A010193 A214679 * A214326 A105769 A157171

Adjacent sequences:  A010189 A010190 A010191 * A010193 A010194 A010195

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 22 05:00 EDT 2019. Contains 326172 sequences. (Running on oeis4.)