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

0,1

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).

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 *)

Crossrefs

Cf. A010531, A041141.

Sequence in context: A038287 A229095 A343186 * A195940 A195991 A304410

Adjacent sequences: A041137 A041138 A041139 * A041141 A041142 A041143

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved