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A041123
Denominators of continued fraction convergents to sqrt(70).
2
1, 2, 3, 8, 11, 30, 491, 1012, 1503, 4018, 5521, 15060, 246481, 508022, 754503, 2017028, 2771531, 7560090, 123732971, 255026032, 378759003, 1012544038, 1391303041, 3795150120, 62113704961, 128022560042
OFFSET
0,2
LINKS
FORMULA
a(n) = 502*a(n-6)-a(n-12). G.f.: -(x^2-2*x-1)*(x^8+4*x^6+15*x^4+4*x^2+1)/ (x^12-502*x^6+1). [Colin Barker, Jul 18 2012]
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[70], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Jun 26 2011 *)
Denominator[Convergents[Sqrt[70], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Sequence in context: A048788 A239453 A143914 * A042045 A317912 A096506
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved