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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy
• less

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).

Crossrefs

Cf. A041925, A040462.

Programs

Mathematica

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

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]

Extensions

More terms from Colin Barker, Nov 27 2013