login
A042531
Denominators of continued fraction convergents to sqrt(794).
2
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
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
Sequence in context: A231000 A274283 A022095 * A042839 A041373 A041533
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 17 2013
STATUS
approved