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A010193 Continued fraction for sqrt(134). 0
11, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22, 1, 1, 2, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..75.

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, 1).

FORMULA

a(n) = (1/1274)*(-1861*(n mod 14) + 50*((n+1) mod 14) + 141*((n+2) mod 14) - 41*((n+3) mod 14) + 132*((n+4) mod 14) - 132*((n+5) mod 14) + 869*((n+6) mod 14) - 769*((n+7) mod 14) + 232*((n+8) mod 14) - 132*((n+9) mod 14) + 141*((n+10) mod 14) - 41*((n+11) mod 14) + 50*((n+12) mod 14) + 1961*((n+13) mod 14)) - 11*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009

MATHEMATICA

ContinuedFraction[Sqrt[134], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)

PadRight[{11}, 120, {22, 1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1}] (* Harvey P. Dale, Jul 21 2019 *)

CROSSREFS

Sequence in context: A107045 A145140 A010195 * A214679 A010192 A214326

Adjacent sequences:  A010190 A010191 A010192 * A010194 A010195 A010196

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 17 21:37 EDT 2019. Contains 328134 sequences. (Running on oeis4.)