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A010204 Continued fraction for sqrt(153). 1
12, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2, 2, 1, 2, 24, 2, 1, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..76.

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, 1).

FORMULA

a(n) = (1/56)*(-145*(n mod 8) + 2*((n+1) mod 8) + 16*((n+2) mod 8) + 9*((n+3) mod 8) + 9*((n+4) mod 8) + 2*((n+5) mod 8) + 16*((n+6) mod 8) + 163*((n+7) mod 8)) - 12*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 28 2009

MATHEMATICA

ContinuedFraction[Sqrt[153], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)

CROSSREFS

Sequence in context: A222582 A260621 A264024 * A124607 A177429 A242591

Adjacent sequences:  A010201 A010202 A010203 * A010205 A010206 A010207

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 20 04:43 EDT 2020. Contains 337264 sequences. (Running on oeis4.)