A041496 Numerators of continued fraction convergents to sqrt(265).

16, 49, 65, 114, 293, 700, 993, 1693, 6072, 195997, 594063, 790060, 1384123, 3558306, 8500735, 12059041, 20559776, 73738369, 2380187584, 7214301121, 9594488705, 16808789826, 43212068357, 103232926540, 146444994897, 249677921437, 895478759208, 28904998216093

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,12144,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^17 -16*x^16 +49*x^15 -65*x^14 +114*x^13 -293*x^12 +700*x^11 -993*x^10 +1693*x^9 +6072*x^8 +1693*x^7 +993*x^6 +700*x^5 +293*x^4 +114*x^3 +65*x^2 +49*x +16) / (x^18 +12144*x^9 -1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[265], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

Crossrefs

Cf. A041497.

Sequence in context: A297697 A231526 A329075 * A059207 A016778 A009952

Adjacent sequences: A041493 A041494 A041495 * A041497 A041498 A041499

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved