A042763 Denominators of continued fraction convergents to sqrt(912).

1, 5, 301, 1510, 90901, 456015, 27451801, 137715020, 8290353001, 41589480025, 2503659154501, 12559885252530, 756096774306301, 3793043756784035, 228338722181348401, 1145486654663526040, 68957538001992910801, 345933176664628080045

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,302,0,-1).

Formula

G.f.: -(x^2-5*x-1) / (x^4-302*x^2+1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[912], 30]] (* Vincenzo Librandi, Jan 28 2014 *)
LinearRecurrence[{0, 302, 0, -1}, {1, 5, 301, 1510}, 20] (* Harvey P. Dale, May 08 2018 *)

Crossrefs

Cf. A042762, A040881.

Sequence in context: A159012 A158994 A158996 * A323012 A342210 A300425

Adjacent sequences: A042760 A042761 A042762 * A042764 A042765 A042766

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved