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A041068
Numerators of continued fraction convergents to sqrt(41).
3
6, 13, 32, 397, 826, 2049, 25414, 52877, 131168, 1626893, 3384954, 8396801, 104146566, 216689933, 537526432, 6667007117, 13871540666, 34410088449, 426792602054, 887995292557, 2202783187168, 27321393538573
OFFSET
0,1
FORMULA
G.f.: -(x^5-6*x^4+13*x^3+32*x^2+13*x+6) / (x^6+64*x^3-1). - Colin Barker, Nov 04 2013
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[41], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)
Numerator[Convergents[Sqrt[41], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 0, 64, 0, 0, 1}, {6, 13, 32, 397, 826, 2049}, 30] (* Harvey P. Dale, Mar 17 2019 *)
CROSSREFS
Sequence in context: A147330 A042607 A048693 * A300430 A300634 A301356
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved