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A041351
Denominators of continued fraction convergents to sqrt(189).
2
1, 1, 3, 4, 107, 111, 329, 440, 11769, 12209, 36187, 48396, 1294483, 1342879, 3980241, 5323120, 142381361, 147704481, 437790323, 585494804, 15660655227, 16246150031, 48152955289, 64399105320, 1722529693609, 1786928798929, 5296387291467, 7083316090396
OFFSET
0,3
FORMULA
G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / (x^8-110*x^4+1). - Colin Barker, Nov 16 2013
a(n) = 110*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 16 2013
MATHEMATICA
Denominator[Convergents[Sqrt[189], 30]] (* Vincenzo Librandi, Dec 16 2013 *)
PROG
(Magma) I:=[1, 1, 3, 4, 107, 111, 329, 440]; [n le 8 select I[n] else 110*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013
CROSSREFS
Sequence in context: A156182 A126578 A332972 * A266516 A066496 A041465
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 16 2013
STATUS
approved