A041855 Denominators of continued fraction convergents to sqrt(449).

1, 5, 16, 21, 37, 58, 443, 501, 2948, 15241, 18189, 142564, 160753, 303317, 464070, 1695527, 8941705, 377247137, 1895177390, 6062779307, 7957956697, 14020736004, 21978692701, 167871584911, 189850277612, 1117122972971, 5775465142467, 6892588115438

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, 378942664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 378942664*a(n-17) + a(n-34) for n>33. - Vincenzo Librandi, Dec 26 2013

Mathematica

Denominator[Convergents[Sqrt[449], 30]] (* Vincenzo Librandi, Dec 26 2013 *)

Crossrefs

Cf. A041854.

Sequence in context: A191264 A077469 A022140 * A030691 A041107 A042603

Adjacent sequences: A041852 A041853 A041854 * A041856 A041857 A041858

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 26 2013

Status

approved