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Numerators of continued fraction convergents to sqrt(993).
2

%I #17 Jun 26 2022 23:33:04

%S 31,32,63,1292,1355,2647,165469,168116,333585,6839816,7173401,

%T 14013217,875992855,890006072,1765998927,36209984612,37975983539,

%U 74185968151,4637506008901,4711691977052,9349197985953,191695651696112,201044849682065,392740501378177

%N Numerators of continued fraction convergents to sqrt(993).

%H Vincenzo Librandi, <a href="/A042922/b042922.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 5294, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 - 31*x^10 + 32*x^9 - 63*x^8 + 1292*x^7 - 1355*x^6 - 2647*x^5 - 1355*x^4 - 1292*x^3 - 63*x^2 - 32*x - 31) / (x^12 - 5294*x^6 + 1). - _Colin Barker_, Dec 25 2013

%t Numerator[Convergents[Sqrt[993], 30]] (* _Vincenzo Librandi_, Dec 09 2013 *)

%Y Cf. A042923, A040961.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 25 2013

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Last modified September 23 02:59 EDT 2024. Contains 376140 sequences. (Running on oeis4.)