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A041715
Denominators of continued fraction convergents to sqrt(377).
2
1, 2, 5, 12, 461, 934, 2329, 5592, 214825, 435242, 1085309, 2605860, 100107989, 202821838, 505751665, 1214325168, 46650108049, 94514541266, 235679190581, 565872922428, 21738850242845, 44043573408118, 109825997059081, 263695567526280, 10130257563057721
OFFSET
0,2
FORMULA
G.f.: -(x^2-2*x-1)*(x^4+6*x^2+1) / (x^8-466*x^4+1). - Colin Barker, Nov 22 2013
a(n) = 466*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 23 2013
MATHEMATICA
Denominator[Convergents[Sqrt[377], 30]] (* Vincenzo Librandi, Dec 23 2013 *)
LinearRecurrence[{0, 0, 0, 466, 0, 0, 0, -1}, {1, 2, 5, 12, 461, 934, 2329, 5592}, 40] (* Harvey P. Dale, Jul 24 2019 *)
PROG
(Magma) I:=[1, 2, 5, 12, 461, 934, 2329, 5592]; [n le 8 select I[n] else 466*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 23 2013
CROSSREFS
Sequence in context: A041095 A041333 A197950 * A042241 A042911 A137918
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 22 2013
STATUS
approved