A042804 Numerators of continued fraction convergents to sqrt(933).

30, 31, 61, 336, 6781, 34241, 41022, 75263, 4556802, 4632065, 9188867, 50576400, 1020716867, 5154160735, 6174877602, 11329038337, 685917177822, 697246216159, 1383163393981, 7613063186064, 153644427115261, 775835198762369, 929479625877630

Offset

0,1

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, 150526, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -30*x^14 +31*x^13 -61*x^12 +336*x^11 -6781*x^10 +34241*x^9 -41022*x^8 -75263*x^7 -41022*x^6 -34241*x^5 -6781*x^4 -336*x^3 -61*x^2 -31*x -30) / (x^16 -150526*x^8 +1). - Colin Barker, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[933], 30]] (* Vincenzo Librandi, Dec 05 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 150526, 0, 0, 0, 0, 0, 0, 0, -1}, {30, 31, 61, 336, 6781, 34241, 41022, 75263, 4556802, 4632065, 9188867, 50576400, 1020716867, 5154160735, 6174877602, 11329038337}, 30] (* Harvey P. Dale, May 06 2024 *)

Crossrefs

Cf. A042805, A040902.

Sequence in context: A042808 A042810 A042806 * A042802 A042800 A042826

Adjacent sequences: A042801 A042802 A042803 * A042805 A042806 A042807

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved