A041924 Numerators of continued fraction convergents to sqrt(485).

22, 969, 42658, 1877921, 82671182, 3639409929, 160216708058, 7053174564481, 310499897545222, 13669048666554249, 601748641225932178, 26490609262607570081, 1166188556195959015742, 51338787081884804262729, 2260072820159127346575818

Offset

0,1

Links

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

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (44, 1).

Formula

a(n) = 44*a(n-1)+a(n-2) for n>1, a(0)=22, a(1)=969. G.f.: (22+x)/(1-44*x-x^2). [Philippe Deléham, Nov 23 2008]

Mathematica

Numerator[Convergents[Sqrt[485], 30]] (* Vincenzo Librandi, Nov 12 2013 *)
LinearRecurrence[{44, 1}, {22, 969}, 20] (* Harvey P. Dale, Dec 24 2023 *)

Crossrefs

Cf. A041925, A040462.

Sequence in context: A102995 A211887 A041927 * A160139 A004633 A232277

Adjacent sequences: A041921 A041922 A041923 * A041925 A041926 A041927

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved