A041797 Denominators of continued fraction convergents to sqrt(419).

1, 2, 15, 17, 49, 164, 213, 590, 803, 15847, 16650, 49147, 65797, 246538, 558873, 805411, 6196750, 13198911, 534153190, 1081505291, 8104690227, 9186195518, 26477081263, 88617439307, 115094520570, 318806480447, 433901001017, 8562925499770, 8996826500787

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, 540349940, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 540349940*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[419], 30]] (* Vincenzo Librandi, Dec 24 2013 *)

Crossrefs

Cf. A041796.

Sequence in context: A276114 A022117 A042571 * A041289 A249944 A042685

Adjacent sequences: A041794 A041795 A041796 * A041798 A041799 A041800

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 24 2013

Status

approved