A041307 Denominators of continued fraction convergents to sqrt(166).

1, 1, 8, 9, 17, 26, 69, 302, 371, 1415, 3201, 39827, 82855, 288392, 371247, 1773380, 3918007, 5691387, 9609394, 15300781, 116714861, 132015642, 3285090269, 3417105911, 27204831646, 30621937557, 57826769203, 88448706760, 234724182723, 1027345437652

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, 0, 0, 3401805130, 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) = 3401805130*a(n-22) - a(n-44) for n>43. [Bruno Berselli, Dec 15 2013]

Mathematica

Denominator[Convergents[Sqrt[166], 30]] (* Harvey P. Dale, Jan 02 2013 *)

Crossrefs

Cf. A041306.

Sequence in context: A022098 A129659 A041130 * A042289 A041132 A020693

Adjacent sequences: A041304 A041305 A041306 * A041308 A041309 A041310

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 15 2013

Status

approved