A042531 Denominators of continued fraction convergents to sqrt(794).

1, 5, 6, 11, 17, 28, 45, 73, 118, 191, 1073, 60279, 302468, 362747, 665215, 1027962, 1693177, 2721139, 4414316, 7135455, 11549771, 64884310, 3645071131, 18290239965, 21935311096, 40225551061, 62160862157, 102386413218, 164547275375, 266933688593

Offset

0,2

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, 0, 60470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^20 -5*x^19 +6*x^18 -11*x^17 +17*x^16 -28*x^15 +45*x^14 -73*x^13 +118*x^12 -191*x^11 +1073*x^10 +191*x^9 +118*x^8 +73*x^7 +45*x^6 +28*x^5 +17*x^4 +11*x^3 +6*x^2 +5*x +1) / (x^22 +60470*x^11 -1). - Colin Barker, Dec 17 2013

a(n) = 60470*a(n-11) + a(n-22)for n>21. - Vincenzo Librandi, Jan 23 2014

Mathematica

Denominator[Convergents[Sqrt[794], 30]] (* Harvey P. Dale, Aug 21 2011 *)

Crossrefs

Cf. A042530, A040765.

Sequence in context: A231000 A274283 A022095 * A042839 A041373 A041533

Adjacent sequences: A042528 A042529 A042530 * A042532 A042533 A042534

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved