A041441 Denominators of continued fraction convergents to sqrt(236).

1, 2, 3, 11, 58, 69, 472, 541, 3177, 10072, 13249, 36570, 1110349, 2257268, 3367617, 12360119, 65168212, 77528331, 530338198, 607866529, 3569670843, 11316879058, 14886549901, 41089978860, 1247585915701, 2536261810262, 3783847725963, 13887804988151

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, 1123598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1123598*a(n-12) - a(n-24) for n>23. [Bruno Berselli, Dec 18 2013]

Mathematica

Denominator[Convergents[Sqrt[236], 30]] (* Vincenzo Librandi, Dec 17 2013 *)

Crossrefs

Cf. A041440.

Sequence in context: A152024 A353726 A353727 * A110482 A242366 A105217

Adjacent sequences: A041438 A041439 A041440 * A041442 A041443 A041444

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Status

approved