A042195 Denominators of continued fraction convergents to sqrt(622).

1, 1, 16, 17, 33, 50, 233, 283, 2214, 4711, 115278, 235267, 1762147, 1997414, 9751803, 11749217, 21501020, 33250237, 520254575, 553504812, 27088485551, 27641990363, 441718340996, 469360331359, 911078672355, 1380439003714, 6432834687211, 7813273690925

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, 27608740126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 27608740126*a(n-20) - a(n-40) for n > 39. - Vincenzo Librandi, Jan 16 2014

Mathematica

Denominator[Convergents[Sqrt[622], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042194.

Sequence in context: A319281 A022106 A041518 * A041520 A058542 A041516

Adjacent sequences: A042192 A042193 A042194 * A042196 A042197 A042198

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 16 2014

Status

approved