A041355 Denominators of continued fraction convergents to sqrt(191).

1, 1, 5, 6, 11, 39, 89, 217, 2910, 6037, 14984, 50989, 65973, 116962, 533821, 650783, 17454179, 18104962, 89874027, 107978989, 197853016, 701538037, 1600929090, 3903396217, 52345079911, 108593556039, 269532191989, 917190132006, 1186722323995, 2103912456001

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17988000,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

a(n) = 17988000*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 16 2013]

Mathematica

Denominator[Convergents[Sqrt[191], 30]] (* Vincenzo Librandi, Dec 16 2013 *)

Crossrefs

Cf. A041354.

Sequence in context: A046830 A042493 A042217 * A041050 A332523 A041227

Adjacent sequences: A041352 A041353 A041354 * A041356 A041357 A041358

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 16 2013

Status

approved