A041911 Denominators of continued fraction convergents to sqrt(477).

1, 1, 6, 19, 25, 119, 1215, 1334, 3883, 9100, 40283, 89666, 219615, 309281, 3312425, 13558981, 16871406, 64173199, 337737401, 401910600, 17217982601, 17619893201, 105317448606, 333572239019, 438889687625, 2089130989519, 21330199582815, 23419330572334

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, 0, 0, 0, 0, 17555720002, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 17555720002*a(n-20) - a(n-40) for n>39. - Vincenzo Librandi, Dec 27 2013

Mathematica

Denominator[Convergents[Sqrt[477], 30]] (* Harvey P. Dale, May 01 2013 *)

Crossrefs

Cf. A041910.

Sequence in context: A235537 A046955 A042215 * A341327 A210288 A038125

Adjacent sequences: A041908 A041909 A041910 * A041912 A041913 A041914

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 27 2013

Status

approved