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A010219 Continued fraction for sqrt(175). 1
13, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2, 1, 2, 4, 26, 4, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..74.

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

FORMULA

a(n) = (1/30)*(-97*(n mod 6) + 3*((n+1) mod 6) + 8*((n+2) mod 6) + 18*((n+3) mod 6) + 23*((n+4) mod 6) + 123*((n+5) mod 6)) - 13*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 28 2009

MATHEMATICA

ContinuedFraction[Sqrt[175], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 25 2011 *)

CROSSREFS

Sequence in context: A155847 A204594 A204157 * A217426 A056139 A106293

Adjacent sequences:  A010216 A010217 A010218 * A010220 A010221 A010222

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)