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A010175 Continued fraction for sqrt(109). 1
10, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..999

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, 1).

FORMULA

a(n) = (1/1575)*(-1832*(n mod 15) + 163*((n+1) mod 15) - 152*((n+2) mod 15) + 163*((n+3) mod 15) + 268*((n+4) mod 15) - 257*((n+5) mod 15) + 583*((n+6) mod 15) + 58*((n+7) mod 15) - 467*((n+8) mod 15) + 373*((n+9) mod 15) - 152*((n+10) mod 15) - 47*((n+11) mod 15) + 268*((n+12) mod 15) - 47*((n+13) mod 15) + 1948*((n+14) mod 15)) - 10*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009

MATHEMATICA

ContinuedFraction[Sqrt[109], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)

PadRight[{10}, 120, {20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2}] (* Harvey P. Dale, May 29 2016 *)

CROSSREFS

Sequence in context: A265994 A201278 A232589 * A323421 A306321 A160136

Adjacent sequences:  A010172 A010173 A010174 * A010176 A010177 A010178

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 23 11:42 EST 2022. Contains 350512 sequences. (Running on oeis4.)