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A041140
Numerators of continued fraction convergents to sqrt(79).
2
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
0,1
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
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 *)
CROSSREFS
Sequence in context: A038287 A229095 A343186 * A195940 A195991 A304410
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved