A041140 Numerators of continued fraction convergents to sqrt(79).
8, 9, 71, 80, 1351, 1431, 11368, 12799, 216152, 228951, 1818809, 2047760, 34582969, 36630729, 290998072, 327628801, 5533058888, 5860687689, 46557872711, 52418560400, 885254839111, 937673399511, 7448968635688, 8386642035199, 141635241198872, 150021883234071
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,160,0,0,0,-1).
Programs
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Mathematica
Numerator[Convergents[Sqrt[79], 30]] (* Vincenzo Librandi, Oct 29 2013 *) LinearRecurrence[{0,0,0,160,0,0,0,-1},{8,9,71,80,1351,1431,11368,12799},30] (* Harvey P. Dale, Sep 08 2024 *)
Formula
G.f.: -(x^7-8*x^6+9*x^5-71*x^4-80*x^3-71*x^2-9*x-8) / (x^8-160*x^4+1). - Colin Barker, Nov 05 2013
Extensions
More terms from Colin Barker, Nov 05 2013