A041467 Denominators of continued fraction convergents to sqrt(249).

1, 1, 4, 5, 9, 50, 59, 227, 2329, 7214, 9543, 54929, 64472, 119401, 422675, 542076, 16684955, 17227031, 68366048, 85593079, 153959127, 855388714, 1009347841, 3883432237, 39843670211, 123414442870, 163258113081, 939705008275, 1102963121356, 2042668129631

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, 17107630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 17107630*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[249], 30]] (* Vincenzo Librandi, Dec 18 2013 *)

Crossrefs

Cf. A041466.

Sequence in context: A341252 A041151 A279919 * A180436 A121919 A041627

Adjacent sequences: A041464 A041465 A041466 * A041468 A041469 A041470

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 18 2013

Status

approved