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A041068 Numerators of continued fraction convergents to sqrt(41). 2
6, 13, 32, 397, 826, 2049, 25414, 52877, 131168, 1626893, 3384954, 8396801, 104146566, 216689933, 537526432, 6667007117, 13871540666, 34410088449, 426792602054, 887995292557, 2202783187168, 27321393538573 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,0,64,0,0,1).

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

Cf. A041069, A010495.

Sequence in context: A147330 A042607 A048693 * A300430 A300634 A301356

Adjacent sequences:  A041065 A041066 A041067 * A041069 A041070 A041071

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 13 09:58 EST 2019. Contains 329968 sequences. (Running on oeis4.)