A042295 Denominators of continued fraction convergents to sqrt(673).

1, 1, 17, 52, 277, 606, 2095, 2701, 4796, 31477, 36273, 212842, 249115, 461957, 711072, 1173029, 1884101, 3057130, 4941231, 7998361, 44933036, 52931397, 362521418, 415452815, 777974233, 2749375514, 6276725261, 34133001819, 108675730718, 1772944693307

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, 97626910587864, 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) = 97626910587864*a(n-31) + a(n-62) for n>61. - Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[673], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042294.

Sequence in context: A195666 A041562 A113915 * A041564 A286211 A213997

Adjacent sequences: A042292 A042293 A042294 * A042296 A042297 A042298

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved