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A041501
Denominators of continued fraction convergents to sqrt(267).
2
1, 2, 3, 47, 50, 147, 4754, 9655, 14409, 225790, 240199, 706188, 22838215, 46382618, 69220833, 1084695113, 1153915946, 3392527005, 109714780106, 222822087217, 332536867323, 5210875097062, 5543411964385, 16297699025832, 527069780791009, 1070437260607850
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4804,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10-2*x^9+3*x^8-47*x^7+50*x^6-147*x^5-50*x^4-47*x^3-3*x^2-2*x-1) / (x^12-4804*x^6+1). - Colin Barker, Nov 18 2013
a(n) = 4804*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 19 2013
MATHEMATICA
Denominator[Convergents[Sqrt[267], 30]] (* Vincenzo Librandi, Dec 19 2013 *)
PROG
(Magma) I:=[1, 2, 3, 47, 50, 147, 4754, 9655, 14409, 225790, 240199, 706188]; [n le 12 select I[n] else 4804*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013
CROSSREFS
Sequence in context: A171079 A097929 A266512 * A163488 A215536 A173355
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved