A041288 -id:A041288 - cp's OEIS frontend

A041289 Denominators of continued fraction convergents to sqrt(157).

1, 1, 2, 15, 17, 100, 217, 317, 534, 851, 1385, 3621, 19490, 23111, 181267, 204378, 385645, 9459858, 9845503, 19305361, 144983030, 164288391, 966424985, 2097138361, 3063563346, 5160701707, 8224265053

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9664236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A041288.

Denominator[Convergents[Sqrt[157], 30]] (* Vincenzo Librandi, Dec 14 2013 *)

a(n) = 9664236*a(n-17) + a(n-34) for n>33. [Bruno Berselli, Dec 14 2013]

A010206 Continued fraction for sqrt(157).

Original entry on oeis.org

12, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1

Offset: 0

N. J. A. Sloane

G. Xiao, Contfrac
Index entries for continued fractions for constants
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Cf. A041288/A041289 (convergents), A178310 (decimal expansion).

Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

ContinuedFraction[Sqrt[157],300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)
PadRight[{12},120,{24,1,1,7,1,5,2,1,1,1,1,2,5,1,7,1,1}] (* Harvey P. Dale, Jun 06 2021 *)

cp's OEIS Frontend

A041289 Denominators of continued fraction convergents to sqrt(157).

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