A041294 Numerators of continued fraction convergents to sqrt(160).

12, 13, 25, 38, 215, 253, 468, 721, 17772, 18493, 36265, 54758, 310055, 364813, 674868, 1039681, 25627212, 26666893, 52294105, 78960998, 447099095, 526060093, 973159188, 1499219281, 36954421932, 38453641213, 75408063145, 113861704358, 644716584935

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1442,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -12*x^14 +13*x^13 -25*x^12 +38*x^11 -215*x^10 +253*x^9 -468*x^8 -721*x^7 -468*x^6 -253*x^5 -215*x^4 -38*x^3 -25*x^2 -13*x -12) / ((x^4 -6*x^2 -1)*(x^4 +6*x^2 -1)*(x^8 +38*x^4 +1)). - Colin Barker, Nov 06 2013

a(n) = 1442*a(n-8) - a(n-16). - Wesley Ivan Hurt, Mar 01 2023

Mathematica

Numerator[Convergents[Sqrt[160], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041295.

Sequence in context: A022102 A041292 A041679 * A041290 A041288 A042207

Adjacent sequences: A041291 A041292 A041293 * A041295 A041296 A041297

Keyword

nonn,frac,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved