A010180 - OEIS

A010180

Continued fraction for sqrt(115).

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

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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

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: A156767 A365025 A174921 * A109013 A343102 A213790

Adjacent sequences: A010177 A010178 A010179 * A010181 A010182 A010183

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved