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A010213 Continued fraction for sqrt(165). 2
12, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5 (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) = (1/90)*(-307*(n mod 6) + 98*((n+1) mod 6) - 7*((n+2) mod 6) + 83*((n+3) mod 6) - 22*((n+4) mod 6) + 383*((n+5) mod 6)) - 12*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 28 2009

MATHEMATICA

ContinuedFraction[Sqrt[165], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 25 2011 *)

CROSSREFS

Sequence in context: A010212 A270004 A040151 * A140378 A085094 A010214

Adjacent sequences:  A010210 A010211 A010212 * A010214 A010215 A010216

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 21 04:53 EST 2020. Contains 331104 sequences. (Running on oeis4.)