A042875 Denominators of continued fraction convergents to sqrt(969).

1, 7, 8, 31, 101, 132, 233, 365, 963, 1328, 2291, 3619, 13148, 43063, 56211, 436540, 27121691, 190288377, 217410068, 842518581, 2744965811, 3587484392, 6332450203, 9919934595, 26172319393, 36092253988, 62264573381, 98356827369, 357335055488

Offset

0,2

Links

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, 27177902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 27177902*a(n-16) - a(n-32) for n > 31. - Vincenzo Librandi, Jan 31 2014

Mathematica

Denominator[Convergents[Sqrt[969], 30]] (* Vincenzo Librandi, Jan 31 2014 *)

Crossrefs

Cf. A042874, A040937.

Sequence in context: A376007 A080982 A271901 * A154745 A048064 A122605

Adjacent sequences: A042872 A042873 A042874 * A042876 A042877 A042878

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 31 2014

Status

approved