A042287 Denominators of continued fraction convergents to sqrt(669).

1, 1, 7, 15, 37, 126, 163, 1593, 1756, 3349, 8454, 11803, 150090, 612163, 762253, 1374416, 2136669, 3511085, 5647754, 93875149, 99522903, 193398052, 292920955, 486319007, 779239962, 3603278855, 44018586222, 47621865077, 139262316376, 186884181453

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28452235718108270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 28452235718108270*a(n-38) - a(n-76) for n>75. Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[669], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042286.

Sequence in context: A146044 A048694 A041094 * A309732 A309493 A145978

Adjacent sequences: A042284 A042285 A042286 * A042288 A042289 A042290

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved