A041369 Denominators of continued fraction convergents to sqrt(199).

1, 9, 19, 28, 75, 178, 965, 4038, 5003, 9041, 122536, 131577, 254113, 1148029, 5994258, 13136545, 32267348, 45403893, 123075134, 1153080099, 32409317906, 292836941253, 618083200412, 910920141665, 2439923483742, 5790767109149, 31393759029487

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, 0, 0, 0, 0, 32532393040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 32532393040*a(n-20) - a(n-40) for n>39. [Bruno Berselli, Dec 16 2013]

Mathematica

Denominator/@Convergents[Sqrt[199], 40]  (* Harvey P. Dale, Mar 14 2011 *)

Crossrefs

Cf. A041368.

Sequence in context: A090065 A098791 A041156 * A042523 A347421 A037085

Adjacent sequences: A041366 A041367 A041368 * A041370 A041371 A041372

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 16 2013

Status

approved