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A041433
Denominators of continued fraction convergents to sqrt(232).
2
1, 4, 13, 95, 298, 1287, 38908, 156919, 509665, 3724574, 11683387, 50458122, 1525427047, 6152166310, 19981925977, 146025648149, 458058870424, 1978261129845, 59805892765774, 241201832192941, 783411389344597, 5725081557605120, 17958656062159957
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,39206,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10-4*x^9+13*x^8-95*x^7+298*x^6-1287*x^5-298*x^4-95*x^3-13*x^2-4*x-1) / ((x^6-198*x^3-1)*(x^6+198*x^3-1)). - Colin Barker, Nov 17 2013
a(n) = 39206*a(n-6) - a(n-12) for n>7. - Vincenzo Librandi, Dec 17 2013
MATHEMATICA
Denominator[Convergents[Sqrt[232], 30]] (* Vincenzo Librandi, Dec 17 2013 *)
PROG
(Magma) I:=[1, 4, 13, 95, 298, 1287, 38908, 156919, 509665, 3724574, 11683387, 50458122]; [n le 12 select I[n] else 39206*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 17 2013
CROSSREFS
Sequence in context: A281182 A200850 A326565 * A222764 A058014 A290392
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 17 2013
STATUS
approved