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Denominators of continued fraction convergents to sqrt(375).
2

%I #15 Mar 19 2017 09:00:29

%S 1,2,3,8,11,63,74,211,285,781,29963,60707,90670,242047,332717,1905632,

%T 2238349,6382330,8620679,23623688,906320823,1836265334,2742586157,

%U 7321437648,10064023805,57641556673,67705580478,193052717629,260758298107,714569313843

%N Denominators of continued fraction convergents to sqrt(375).

%H Vincenzo Librandi, <a href="/A041711/b041711.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 30248, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 -2*x^17 +3*x^16 -8*x^15 +11*x^14 -63*x^13 +74*x^12 -211*x^11 +285*x^10 -781*x^9 -285*x^8 -211*x^7 -74*x^6 -63*x^5 -11*x^4 -8*x^3 -3*x^2 -2*x -1) / ((x^4 -8*x^2 +1)*(x^16 +8*x^14 +63*x^12 +496*x^10 +3905*x^8 +496*x^6 +63*x^4 +8*x^2 +1)). - _Colin Barker_, Nov 22 2013

%t Denominator[Convergents[Sqrt[375], 30]] (* _Vincenzo Librandi_, Dec 23 2013 *)

%Y Cf. A041710, A040355.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 22 2013