A010171 Continued fraction for sqrt(103).

10, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20

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 periodic sequences.

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

Mathematica

ContinuedFraction[Sqrt[103], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
PadRight[{10}, 120, {20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6}] (* Harvey P. Dale, Mar 25 2024 *)

Prog

(Python)
from sympy import sqrt
from sympy.ntheory.continued_fraction import continued_fraction_iterator
def aupton(terms):
    gen = continued_fraction_iterator(sqrt(103))
    return [next(gen) for i in range(terms)]
print(aupton(85)) # Michael S. Branicky, Oct 06 2021
(PARI) a(n)=if(n, [20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6][n%12+1], 10) \\ Charles R Greathouse IV, May 28 2026

Crossrefs

Cf. A187768 (sqrt(103)).

Sequence in context: A281400 A283726 A370388 * A006518 A391385 A094175

Adjacent sequences: A010168 A010169 A010170 * A010172 A010173 A010174

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved