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A041058
Numerators of continued fraction convergents to sqrt(35).
2
5, 6, 65, 71, 775, 846, 9235, 10081, 110045, 120126, 1311305, 1431431, 15625615, 17057046, 186196075, 203253121, 2218727285, 2421980406, 26438531345, 28860511751, 315043648855, 343904160606, 3754085254915
OFFSET
0,1
FORMULA
a(n) = 12*a(n-2)-a(n-4). G.f.: (5+6*x+5*x^2-x^3)/(1-12*x^2+x^4). [Colin Barker, Apr 17 2012]
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[35], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011 *)
Numerator[Convergents[Sqrt[35], 30]] (* Vincenzo Librandi, Oct 23 2013 *)
CROSSREFS
Sequence in context: A132444 A111504 A041057 * A322844 A259299 A328561
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved