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Numerators of continued fraction convergents to sqrt(924).
2

%I #16 Mar 18 2017 18:06:34

%S 30,61,91,152,2219,2371,4590,11551,697650,1406851,2104501,3511352,

%T 51263429,54774781,106038210,266851201,16117110270,32501071741,

%U 48618182011,81119253752,1184287734539,1265406988291,2449694722830,6164796433951,372337480759890

%N Numerators of continued fraction convergents to sqrt(924).

%H Vincenzo Librandi, <a href="/A042786/b042786.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, 23102, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -30*x^14 +61*x^13 -91*x^12 +152*x^11 -2219*x^10 +2371*x^9 -4590*x^8 -11551*x^7 -4590*x^6 -2371*x^5 -2219*x^4 -152*x^3 -91*x^2 -61*x -30) / ((x^8 -152*x^4 +1)*(x^8 +152*x^4 +1)). - _Colin Barker_, Dec 23 2013

%p convert(sqrt(924), confrac, 30, cvgts): numer(cvgts); # _Wesley Ivan Hurt_, Dec 23 2013

%t Numerator[Convergents[Sqrt[924], 30]] (* _Vincenzo Librandi_, Dec 04 2013 *)

%Y Cf. A042787, A040893.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 23 2013