A041610 Numerators of continued fraction convergents to sqrt(323).

17, 18, 629, 647, 22627, 23274, 813943, 837217, 29279321, 30116538, 1053241613, 1083358151, 37887418747, 38970776898, 1362893833279, 1401864610177, 49026290579297, 50428155189474, 1763583567021413, 1814011722210887, 63439982122191571, 65253993844402458

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,36,0,-1).

Crossrefs

Cf. A041611.

Programs

Mathematica

Numerator[Convergents[Sqrt[323], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0,36,0,-1},{17,18,629,647},30] (* Harvey P. Dale, Oct 17 2024 *)

Formula

G.f.: -(x^3-17*x^2-18*x-17) / (x^4-36*x^2+1). - Colin Barker, Nov 09 2013

Extensions

More terms from Colin Barker, Nov 09 2013