A041600 Numerators of continued fraction convergents to sqrt(318).

17, 18, 89, 107, 3727, 3834, 19063, 22897, 797561, 820458, 4079393, 4899851, 170674327, 175574178, 872971039, 1048545217, 36523508417, 37572053634, 186811722953, 224383776587, 7815860126911, 8040243903498, 39976835740903, 48017079644401, 1672557543650537

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,214,0,0,0,-1).

Formula

G.f.: -(x^7-17*x^6+18*x^5-89*x^4-107*x^3-89*x^2-18*x-17) / (x^8-214*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[318], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 214, 0, 0, 0, -1}, {17, 18, 89, 107, 3727, 3834, 19063, 22897}, 30] (* Harvey P. Dale, Mar 01 2026 *)

Crossrefs

Cf. A041601.

Sequence in context: A041594 A041590 A041596 * A341113 A041598 A344138

Adjacent sequences: A041597 A041598 A041599 * A041601 A041602 A041603

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved