A041587 Denominators of continued fraction convergents to sqrt(311).

1, 1, 2, 3, 8, 11, 74, 233, 4035, 12338, 78063, 90401, 258865, 349266, 608131, 957397, 33159629, 34117026, 67276655, 101393681, 270064017, 371457698, 2498810205, 7867888313, 136252911526, 416626622891, 2636012648872, 3052639271763, 8741291192398, 11793930464161

Offset

0,3

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, 33767760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 33767760*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 20 2013]

Mathematica

Denominator[Convergents[Sqrt[311], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

Crossrefs

Cf. A041586.

Sequence in context: A101579 A041711 A127939 * A139447 A042783 A042583

Adjacent sequences: A041584 A041585 A041586 * A041588 A041589 A041590

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 20 2013

Status

approved