A042759 Denominators of continued fraction convergents to sqrt(910).

1, 6, 361, 2172, 130681, 786258, 47306161, 284623224, 17124699601, 103032820830, 6199093949401, 37297596517236, 2244054884983561, 13501626906418602, 812341669270099681, 4887551642527016688, 294065440220891100961, 1769280192967873622454

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,362,0,-1).

Formula

G.f.: -(x^2-6*x-1) / (x^4-362*x^2+1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[910], 30]] (* Vincenzo Librandi, Jan 28 2014 *)
LinearRecurrence[{0, 362, 0, -1}, {1, 6, 361, 2172}, 20] (* Harvey P. Dale, Dec 10 2017 *)

Crossrefs

Cf. A042758, A040879.

Sequence in context: A069945 A086205 A173608 * A188954 A332136 A248384

Adjacent sequences: A042756 A042757 A042758 * A042760 A042761 A042762

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved