A042881 Denominators of continued fraction convergents to sqrt(972).

1, 5, 6, 11, 17, 130, 797, 927, 3578, 4505, 66648, 71153, 280107, 351260, 2387667, 17064929, 19452596, 36517525, 55970121, 316368130, 19670794181, 98670339035, 118341133216, 217011472251, 335352605467, 2564479710520, 15722230868587, 18286710579107

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, 0, 0, 0, 0, 19726764302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 19726764302*a(n-20) - a(n-40) for n > 39. - Vincenzo Librandi, Jan 31 2014

Mathematica

Denominator[Convergents[Sqrt[972], 30]] (* Vincenzo Librandi, Jan 31 2014 *)

Crossrefs

Cf. A042880, A040940.

Sequence in context: A042839 A041373 A041533 * A041052 A236387 A344555

Adjacent sequences: A042878 A042879 A042880 * A042882 A042883 A042884

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 31 2014

Status

approved