A041482 Numerators of continued fraction convergents to sqrt(258).

16, 257, 8240, 132097, 4235344, 67897601, 2176958576, 34899234817, 1118952472720, 17938138798337, 575139394019504, 9220168443110401, 295620529573552336, 4739148641619947777, 151948377061411881200, 2435913181624210046977, 78101170189036133384464

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,514,0,-1).

Formula

G.f.: -(x^3-16*x^2-257*x-16) / (x^4-514*x^2+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[258], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 514, 0, -1}, {16, 257, 8240, 132097}, 20] (* Harvey P. Dale, Aug 12 2018 *)

Crossrefs

Cf. A041483.

Sequence in context: A067223 A041113 A363689 * A320362 A220742 A266023

Adjacent sequences: A041479 A041480 A041481 * A041483 A041484 A041485

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved