A041803 Denominators of continued fraction convergents to sqrt(422).

1, 1, 2, 11, 24, 35, 129, 2615, 7974, 10589, 29152, 156349, 185501, 341850, 13859501, 14201351, 28060852, 154505611, 337072074, 491577685, 1811805129, 36727680265, 111994845924, 148722526189, 409439898302, 2195922017699, 2605361916001, 4801283933700

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, 14045002, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 14045002*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[422], 30]] (* Vincenzo Librandi, Dec 24 2013 *)

Crossrefs

Cf. A041802.

Sequence in context: A239741 A042347 A193245 * A220281 A297545 A256905

Adjacent sequences: A041800 A041801 A041802 * A041804 A041805 A041806

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 24 2013

Status

approved