A041317 Denominators of continued fraction convergents to sqrt(172).

1, 8, 9, 26, 61, 87, 148, 531, 3334, 10533, 13867, 24400, 62667, 149734, 212401, 1848942, 48284893, 388128086, 436412979, 1260954044, 2958321067, 4219275111, 7177596178, 25752063645, 161689978048, 510821997789, 672511975837, 1183333973626, 3039179923089

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, 48497294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 48497294*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 15 2013]

Mathematica

Denominator[Convergents[Sqrt[172], 30]] (* Vincenzo Librandi, Dec 15 2013 *)

Crossrefs

Cf. A041316.

Sequence in context: A322652 A041134 A108219 * A305336 A042311 A371629

Adjacent sequences: A041314 A041315 A041316 * A041318 A041319 A041320

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 15 2013

Status

approved