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
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).
Programs
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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*)
Formula
G.f.: -(x^2-2*x-1) / (x^4-42*x^2+1). - Colin Barker, Nov 14 2013
Extensions
More terms from Colin Barker, Nov 14 2013