A041921 Denominators of continued fraction convergents to sqrt(482).

1, 1, 21, 22, 945, 967, 20285, 21252, 912869, 934121, 19595289, 20529410, 881830509, 902359919, 18929028889, 19831388808, 851847358825, 871678747633, 18285422311485, 19157101059118, 822883666794441, 842040767853559, 17663699023865621, 18505739791719180

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,966,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4+22*x^2+1) / (x^8-966*x^4+1). - Colin Barker, Nov 27 2013

a(n) = 966*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 27 2013

Mathematica

Denominator[Convergents[Sqrt[482], 30]] (* Vincenzo Librandi, Dec 27 2013 *)
LinearRecurrence[{0, 0, 0, 966, 0, 0, 0, -1}, {1, 1, 21, 22, 945, 967, 20285, 21252}, 30] (* Harvey P. Dale, Mar 25 2018 *)

Prog

(Magma) I:=[1, 1, 21, 22, 945, 967, 20285, 21252]; [n le 8 select I[n] else 966*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 27 2013

Crossrefs

Cf. A041920, A040460.

Sequence in context: A068325 A041219 A041920 * A041922 A104669 A156891

Adjacent sequences: A041918 A041919 A041920 * A041922 A041923 A041924

Keyword

nonn,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved