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A010180 Continued fraction for sqrt(115). 2
10, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1, 2, 1, 20, 1, 2, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

FORMULA

a(n) = (1/450)*(-824*(n mod 10) + 76*((n+1) mod 10) - 14*((n+2) mod 10) + 31*((n+3) mod 10) + 31*((n+4) mod 10) + 31*((n+5) mod 10) + 31*((n+6) mod 10) + 76*((n+7) mod 10) - 14*((n+8) mod 10) + 886*((n+9) mod 10)) - 10*(C(2*n,n) mod 2). [Paolo P. Lava, Jul 24 2009]

G.f.: (10 + x + 2*x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + 2*x^8 + x^9 + 10*x^10)/(1 - x^10). [Bruno Berselli, Jun 13 2013]

MATHEMATICA

ContinuedFraction[Sqrt[115], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)

PadRight[{10}, 120, {20, 1, 2, 1, 1, 1, 1, 1, 2, 1}] (* Harvey P. Dale, Dec 02 2018 *)

CROSSREFS

Sequence in context: A015124 A156767 A174921 * A109013 A213790 A240962

Adjacent sequences:  A010177 A010178 A010179 * A010181 A010182 A010183

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 29 07:03 EST 2020. Contains 331337 sequences. (Running on oeis4.)