A042455 Denominators of continued fraction convergents to sqrt(755).

1, 2, 21, 44, 2397, 4838, 50777, 106392, 5795945, 11698282, 122778765, 257255812, 14014592613, 28286441038, 296879002993, 622044447024, 33887279142289, 68396602731602, 717853306458309, 1504103215648220, 81939426951462189, 165382957118572598

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, 0, 0, 2418, 0, 0, 0, -1).

Formula

G.f.: -(x^2-2*x-1)*(x^4+22*x^2+1) / (x^8-2418*x^4+1). - Colin Barker, Dec 14 2013

Mathematica

Denominator[Convergents[Sqrt[755], 30]] (* Vincenzo Librandi, Jan 22 2014 *)
LinearRecurrence[{0, 0, 0, 2418, 0, 0, 0, -1}, {1, 2, 21, 44, 2397, 4838, 50777, 106392}, 30] (* Harvey P. Dale, Sep 07 2018 *)

Crossrefs

Cf. A042454, A040727.

Sequence in context: A224346 A005484 A330201 * A245546 A074875 A231807

Adjacent sequences: A042452 A042453 A042454 * A042456 A042457 A042458

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved