A041199 Denominators of continued fraction convergents to sqrt(110).

1, 2, 41, 84, 1721, 3526, 72241, 148008, 3032401, 6212810, 127288601, 260790012, 5343088841, 10946967694, 224282442721, 459511853136, 9414519505441, 19288550864018, 395185536785801, 809659624435620, 16588378025498201, 33986415675432022

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,42,0,-1).

Formula

G.f.: -(x^2-2*x-1) / (x^4-42*x^2+1). - Colin Barker, Nov 14 2013

Mathematica

Denominator[Convergents[Sqrt[110], 30]] (* Harvey P. Dale, Oct 10 2012 *)
CoefficientList[Series[(1 + 2 x - x^2)/(1 - 42 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 12 2013*)

Crossrefs

Cf. A041198, A176221, A040099.

Sequence in context: A141858 A062650 A107174 * A100514 A285792 A073468

Adjacent sequences: A041196 A041197 A041198 * A041200 A041201 A041202

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 14 2013

Status

approved