A041733 Denominators of continued fraction convergents to sqrt(386).

1, 1, 2, 3, 14, 17, 320, 337, 1668, 2005, 3673, 5678, 219437, 225115, 444552, 669667, 3123220, 3792887, 71395186, 75188073, 372147478, 447335551, 819483029, 1266818580, 48958589069, 50225407649, 99183996718, 149409404367, 696821614186, 846231018553

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,223110,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^2 -x -1)*(x^20 +3*x^18 +17*x^16 +337*x^14 +2005*x^12 +5678*x^10 +2005*x^8 +337*x^6 +17*x^4 +3*x^2 +1) / (x^24 -223110*x^12 +1). - Colin Barker, Nov 22 2013

Mathematica

Denominator[Convergents[Sqrt[386], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

Crossrefs

Cf. A041732, A040366.

Sequence in context: A100341 A041869 A041010 * A212112 A107083 A266694

Adjacent sequences: A041730 A041731 A041732 * A041734 A041735 A041736

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 22 2013

Status

approved