A042581 Denominators of continued fraction convergents to sqrt(819).

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 3114, 3169, 6283, 9452, 15735, 25187, 40922, 66109, 107031, 173140, 9802871, 9976011, 19778882, 29754893, 49533775, 79288668, 128822443, 208111111, 336933554, 545044665, 30859434794, 31404479459, 62263914253, 93668393712

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, 3148, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4-3*x^3+4*x^2-2*x+1)*(x^4-2*x^3+4*x^2-3*x+1)*(x^4+2*x^3+4*x^2+3*x+1)*(x^4+3*x^3+4*x^2+2*x+1) / (x^20-3148*x^10+1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[819], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A042580, A040790.

Sequence in context: A005181 A177376 A120659 * A349843 A302019 A207976

Adjacent sequences: A042578 A042579 A042580 * A042582 A042583 A042584

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved