A042867 Denominators of continued fraction convergents to sqrt(965).

1, 15, 16, 31, 481, 29853, 448276, 478129, 926405, 14374204, 892127053, 13396279999, 14288407052, 27684687051, 429558712817, 26660324881705, 400334431938392, 426994756820097, 827329188758489, 12836932588197432, 796717149656999273, 11963594177443186527

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, 29884, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^8 - 15*x^7 + 16*x^6 - 31*x^5 + 481*x^4 + 31*x^3 + 16*x^2 + 15*x + 1) / (x^10 + 29884*x^5 - 1). - Colin Barker, Dec 25 2013

a(n) = 29884*a(n-5) + a(n-10) for n > 9. - Vincenzo Librandi, Dec 25 2013

Mathematica

Denominator[Convergents[Sqrt[965], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

Prog

(Magma) I:=[1, 15, 16, 31, 481, 29853, 448276, 478129, 926405, 14374204]; [n le 10 select I[n] else 29884*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 25 2013

Crossrefs

Cf. A042866, A040933.

Sequence in context: A041454 A041452 A041450 * A296863 A269459 A041462

Adjacent sequences: A042864 A042865 A042866 * A042868 A042869 A042870

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved