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A041799
Denominators of continued fraction convergents to sqrt(420).
2
1, 2, 81, 164, 6641, 13446, 544481, 1102408, 44640801, 90384010, 3660001201, 7410386412, 300075457681, 607561301774, 24602527528641, 49812616359056, 2017107181890881, 4084026980140818, 165378186387523601, 334840399755188020, 13558994176595044401
OFFSET
0,2
FORMULA
G.f.: -(x^2-2*x-1) / (x^4-82*x^2+1). - Colin Barker, Nov 25 2013
a(n) = 82*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 24 2013
MATHEMATICA
Denominator[Convergents[Sqrt[420], 30]] (* Vincenzo Librandi, Dec 24 2013 *)
PROG
(Magma) I:=[1, 2, 81, 164]; [n le 4 select I[n] else 82*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 24 2013
CROSSREFS
Sequence in context: A293290 A056972 A051391 * A187858 A371508 A352742
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 25 2013
STATUS
approved