A042817 Denominators of continued fraction convergents to sqrt(939).

1, 1, 2, 3, 14, 283, 1146, 1429, 2575, 4004, 242815, 246819, 489634, 736453, 3435446, 69445373, 281216938, 350662311, 631879249, 982541560, 59584372849, 60566914409, 120151287258, 180718201667, 843024093926, 17041200080187

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, 0, 0, 0, 0, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +14*x^14 -283*x^13 +1146*x^12 -1429*x^11 +2575*x^10 -4004*x^9 -2575*x^8 -1429*x^7 -1146*x^6 -283*x^5 -14*x^4 -3*x^3 -2*x^2 -x -1) / (x^20 -245390*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[939], 30]] (* Vincenzo Librandi, Jan 30 2014 *)

Crossrefs

Cf. A042816, A040908.

Sequence in context: A041521 A101003 A042071 * A224848 A271330 A262462

Adjacent sequences: A042814 A042815 A042816 * A042818 A042819 A042820

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved