A042497 Denominators of continued fraction convergents to sqrt(776).

1, 1, 6, 7, 384, 391, 2339, 2730, 149759, 152489, 912204, 1064693, 58405626, 59470319, 355757221, 415227540, 22778044381, 23193271921, 138744403986, 161937675907, 8883378902964, 9045316578871, 54109961797319, 63155278376190, 3464494994111579

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 390, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+7*x^2+1) / (x^8-390*x^4+1). - Colin Barker, Dec 16 2013

Mathematica

Denominator[Convergents[Sqrt[776], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042496, A040748.

Sequence in context: A267255 A041357 A041829 * A011315 A268508 A021151

Adjacent sequences: A042494 A042495 A042496 * A042498 A042499 A042500

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 16 2013

Status

approved