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

Author

N. J. A. Sloane

Keywords

• nonn
• frac
• easy

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).

Crossrefs

Cf. A042758, A040879.

Programs

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 *)

Formula

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

Extensions

More terms from Colin Barker, Dec 23 2013