A041094 Numerators of continued fraction convergents to sqrt(55).
7, 15, 37, 89, 1283, 2655, 6593, 15841, 228367, 472575, 1173517, 2819609, 40648043, 84115695, 208879433, 501874561, 7235123287, 14972121135, 37179365557, 89330852249, 1287811297043, 2664953446335, 6617718189713, 15900389825761, 229223175750367
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,178,0,0,0,-1).
Crossrefs
Cf. A041095.
Programs
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Mathematica
Numerator[Convergents[Sqrt[55],30]] (* Harvey P. Dale, Aug 15 2013 *)
Formula
G.f.: -(x+1)*(x^6-8*x^5+23*x^4-60*x^3-29*x^2-8*x-7) / (x^8-178*x^4+1). - Colin Barker, Nov 04 2013
Extensions
More terms from Colin Barker, Nov 04 2013