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A041057
Denominators of continued fraction convergents to sqrt(34).
2
1, 1, 5, 6, 65, 71, 349, 420, 4549, 4969, 24425, 29394, 318365, 347759, 1709401, 2057160, 22281001, 24338161, 119633645, 143971806, 1559351705, 1703323511, 8372645749, 10075969260, 109132338349
OFFSET
0,3
FORMULA
a(n) = 70*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+6*x^2+1)/(x^8-70*x^4+1). [Colin Barker, Jul 16 2012]
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[34], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
Denominator[Convergents[Sqrt[34], 30]] (* Vincenzo Librandi, Oct 23 2013 *)
CROSSREFS
Sequence in context: A223530 A132444 A111504 * A041058 A322844 A259299
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved