A042401 Denominators of continued fraction convergents to sqrt(727).

1, 1, 26, 27, 1430, 1457, 37855, 39312, 2082079, 2121391, 55116854, 57238245, 3031505594, 3088743839, 80250101569, 83338845408, 4413870062785, 4497208908193, 116844092767610, 121341301675803, 6426591779909366, 6547933081585169, 170124918819538591

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, 1456, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+27*x^2+1) / (x^8-1456*x^4+1). - Colin Barker, Dec 10 2013

Mathematica

Denominator[Convergents[Sqrt[727], 301]] (* Vincenzo Librandi, Jan 21 2014 *)
LinearRecurrence[{0, 0, 0, 1456, 0, 0, 0, -1}, {1, 1, 26, 27, 1430, 1457, 37855, 39312}, 30] (* Harvey P. Dale, Apr 09 2016 *)

Crossrefs

Cf. A042400, A040700.

Sequence in context: A042396 A042398 A042400 * A042402 A247394 A056081

Adjacent sequences: A042398 A042399 A042400 * A042402 A042403 A042404

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 10 2013

Status

approved