A041740 Numerators of continued fraction convergents to sqrt(390).

19, 20, 59, 79, 3061, 3140, 9341, 12481, 483619, 496100, 1475819, 1971919, 76408741, 78380660, 233170061, 311550721, 12072097459, 12383648180, 36839393819, 49223041999, 1907314989781, 1956538031780, 5820391053341, 7776929085121, 301343696287939

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,158,0,0,0,-1).

Formula

G.f.: -(x^7-19*x^6+20*x^5-59*x^4-79*x^3-59*x^2-20*x-19) / (x^8-158*x^4+1). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[390], 30]] (* Vincenzo Librandi, Nov 07 2013 *)
LinearRecurrence[{0, 0, 0, 158, 0, 0, 0, -1}, {19, 20, 59, 79, 3061, 3140, 9341, 12481}, 30] (* Harvey P. Dale, May 01 2021 *)

Crossrefs

Cf. A041741.

Sequence in context: A041724 A041722 A041738 * A041736 A041734 A041744

Adjacent sequences: A041737 A041738 A041739 * A041741 A041742 A041743

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved