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 A041938 Numerators of continued fraction convergents to sqrt(492). 2

%I #15 Mar 18 2017 13:11:29

%S 22,111,133,244,2573,2817,5390,29767,1315138,6605457,7920595,14526052,

%T 153181115,167707167,320888282,1772148577,78295425670,393249276927,

%U 471544702597,864793979524,9119484497837,9984278477361,19103762975198,105503093353351

%N Numerators of continued fraction convergents to sqrt(492).

%H Vincenzo Librandi, <a href="/A041938/b041938.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 59534, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -22*x^14 +111*x^13 -133*x^12 +244*x^11 -2573*x^10 +2817*x^9 -5390*x^8 -29767*x^7 -5390*x^6 -2817*x^5 -2573*x^4 -244*x^3 -133*x^2 -111*x -22) / ((x^8 -244*x^4 +1)*(x^8 +244*x^4 +1)). - _Colin Barker_, Nov 27 2013

%t Numerator[Convergents[Sqrt[492], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)

%Y Cf. A041939, A040469.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 27 2013

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Last modified March 1 08:46 EST 2024. Contains 370430 sequences. (Running on oeis4.)