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A041617
Denominators of continued fraction convergents to sqrt(327).
2
1, 12, 433, 5208, 187921, 2260260, 81557281, 980947632, 35395672033, 425729012028, 15361640105041, 184765410272520, 6666916409915761, 80187762329261652, 2893426360263335233, 34801304085489284448, 1255740373437877575361
OFFSET
0,2
FORMULA
G.f.: -(x^2-12*x-1) / (x^4-434*x^2+1). - Colin Barker, Nov 20 2013
a(n) = 434*a(n-2) - a(n-4) for n>3, - Vincenzo Librandi, Dec 22 2013
MATHEMATICA
Denominator[Convergents[Sqrt[327], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
PROG
(Magma) I:=[1, 12, 433, 5208]; [n le 4 select I[n] else 434*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
CROSSREFS
Sequence in context: A221955 A070285 A241593 * A159534 A303922 A246502
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 20 2013
STATUS
approved