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A041917
Denominators of continued fraction convergents to sqrt(480).
3
1, 1, 10, 11, 472, 483, 4819, 5302, 227503, 232805, 2322748, 2555553, 109655974, 112211527, 1119559717, 1231771244, 52853951965, 54085723209, 539625460846, 593711184055, 25475495191156, 26069206375211, 260098352568055, 286167558943266, 12279135828185227
OFFSET
0,3
FORMULA
a(n) = 482*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+11*x^2+1)/((x^4-22*x^2+1)*(x^4+22*x^2+1)). [Colin Barker, Jul 16 2012]
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[480], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Jun 23 2011 *)
Denominator[Convergents[Sqrt[480], 30]] (* Vincenzo Librandi, Oct 25 2013 *)
CROSSREFS
Cf. A041916.
Sequence in context: A041217 A041218 A300458 * A318089 A109280 A181756
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved