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

0,1

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).

Formula

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

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 *)

Crossrefs

Cf. A041611.

Sequence in context: A041143 A041608 A041609 * A042399 A156656 A130808

Adjacent sequences: A041607 A041608 A041609 * A041611 A041612 A041613

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved