A042012 Numerators of continued fraction convergents to sqrt(530).

23, 1059, 48737, 2242961, 103224943, 4750590339, 218630380537, 10061748095041, 463059042752423, 21310777714706499, 980758833919251377, 45136217138000269841, 2077246747181931664063, 95598486587506856816739, 4399607629772497345234057

Offset

0,1

Links

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

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (46,1).

Formula

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 46*a(n-1) + a(n-2), n > 1; a(0)=23, a(1)=1059.

G.f.: (23+x)/(1-46*x-x^2). (End)

Mathematica

Numerator[Convergents[Sqrt[530], 30]] (* Vincenzo Librandi, Nov 13 2013 *)
LinearRecurrence[{46, 1}, {23, 1059}, 30] (* Harvey P. Dale, May 05 2016 *)

Crossrefs

Cf. A042013, A040506.

Sequence in context: A069479 A174748 A042015 * A128404 A126741 A273477

Adjacent sequences: A042009 A042010 A042011 * A042013 A042014 A042015

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Extensions

Additional term from Colin Barker, Nov 29 2013

Status

approved