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A042779
Denominators of continued fraction convergents to sqrt(920).
2
1, 3, 181, 546, 32941, 99369, 5995081, 18084612, 1091071801, 3291300015, 198569072701, 598998518118, 36138480159781, 109014438997461, 6577004820007441, 19840028899019784, 1196978738761194481, 3610776245182603227, 217843553449717388101, 657141436594334767530
OFFSET
0,2
FORMULA
G.f.: -(x^2-3*x-1) / (x^4-182*x^2+1). - Colin Barker, Dec 23 2013
a(n) = 182*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 29 2014
MATHEMATICA
Denominator[Convergents[Sqrt[920], 30]] (* Harvey P. Dale, May 03 2012 *)
PROG
(Magma) I:=[1, 3, 181, 546]; [n le 4 select I[n] else 182*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 29 2014
CROSSREFS
Sequence in context: A093434 A053291 A013519 * A103503 A203562 A371153
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 23 2013
STATUS
approved