A042073 Denominators of continued fraction convergents to sqrt(560).

1, 1, 2, 3, 140, 143, 283, 426, 19879, 20305, 40184, 60489, 2822678, 2883167, 5705845, 8589012, 400800397, 409389409, 810189806, 1219579215, 56910833696, 58130412911, 115041246607, 173171659518, 8080937584435, 8254109243953, 16335046828388, 24589156072341

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,142,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4+3*x^2+1) / ((x^4-12*x^2+1)*(x^4+12*x^2+1)). - Colin Barker, Dec 01 2013

Mathematica

Denominator[Convergents[Sqrt[560], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042072, A040536.

Sequence in context: A057738 A234999 A254787 * A124236 A371272 A115231

Adjacent sequences: A042070 A042071 A042072 * A042074 A042075 A042076

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 01 2013

Status

approved