A042411 Denominators of continued fraction convergents to sqrt(733).

1, 13, 14, 27, 365, 19737, 256946, 276683, 533629, 7213860, 390082069, 5078280757, 5468362826, 10546643583, 142574729405, 7709582031453, 100367141138294, 108076723169747, 208443864308041, 2817846959174280, 152372179659719161, 1983656182535523373

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, 19764, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^8-13*x^7+14*x^6-27*x^5+365*x^4+27*x^3+14*x^2+13*x+1) / (x^10+19764*x^5-1). - Colin Barker, Dec 11 2013

Mathematica

Denominator[Convergents[Sqrt[733], 30]] (* Vincenzo Librandi, Jan 21 2014 *)
LinearRecurrence[{0, 0, 0, 0, 19764, 0, 0, 0, 0, 1}, {1, 13, 14, 27, 365, 19737, 256946, 276683, 533629, 7213860}, 30] (* Harvey P. Dale, Jul 07 2024 *)

Crossrefs

Cf. A042410, A040705.

Sequence in context: A041344 A041340 A041338 * A167996 A308122 A292116

Adjacent sequences: A042408 A042409 A042410 * A042412 A042413 A042414

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 11 2013

Status

approved