A042071 Denominators of continued fraction convergents to sqrt(559).

1, 1, 2, 3, 14, 213, 227, 440, 1987, 2427, 6841, 9268, 43913, 53181, 97094, 1509591, 6135458, 7645049, 13780507, 21425556, 999356083, 1020781639, 2020137722, 3040919361, 14183815166, 215798146851, 229981962017, 445780108868, 2013102397489, 2458882506357

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1013136590, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1013136590*a(n-20) - a(n-40) for n>39. - Vincenzo Librandi, Jan 13 2014

Mathematica

Denominator[Convergents[Sqrt[559], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042070.

Sequence in context: A006279 A041521 A101003 * A042817 A224848 A271330

Adjacent sequences: A042068 A042069 A042070 * A042072 A042073 A042074

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 13 2014

Status

approved