A041719 Denominators of continued fraction convergents to sqrt(379).

1, 2, 15, 47, 109, 265, 1699, 20653, 22352, 110061, 132413, 242474, 374887, 1367135, 5843427, 112392248, 455412419, 1478629505, 1934041924, 3412671429, 5346713353, 24799524841, 30146238194, 386554383169, 2349472537208, 5085499457585, 12520471452378

Offset

0,2

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25882394441081380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 25882394441081380*a(n-30) - a(n-60) for n>59. - Vincenzo Librandi, Dec 23 2013

Maple

convert(sqrt(379), confrac, 30, cvgts): denom(cvgts); # Wesley Ivan Hurt, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[379], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

Crossrefs

Cf. A041718.

Sequence in context: A323685 A336209 A256328 * A133777 A350383 A025213

Adjacent sequences: A041716 A041717 A041718 * A041720 A041721 A041722

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 23 2013

Status

approved