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A042818 Numerators of continued fraction convergents to sqrt(940). 2

%I #15 Mar 18 2017 18:11:04

%S 30,31,61,92,1349,1441,2790,4231,256650,260881,517531,778412,11415299,

%T 12193711,23609010,35802721,2171772270,2207574991,4379347261,

%U 6586922252,96596258789,103183181041,199779439830,302962620871,18377536692090,18680499312961

%N Numerators of continued fraction convergents to sqrt(940).

%H Vincenzo Librandi, <a href="/A042818/b042818.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, 8462, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -30*x^14 +31*x^13 -61*x^12 +92*x^11 -1349*x^10 +1441*x^9 -2790*x^8 -4231*x^7 -2790*x^6 -1441*x^5 -1349*x^4 -92*x^3 -61*x^2 -31*x -30) / ((x^8 -92*x^4 +1)*(x^8 +92*x^4 +1)). - _Colin Barker_, Dec 24 2013

%t Numerator[Convergents[Sqrt[940], 30]] (* _Vincenzo Librandi_, Dec 05 2013 *)

%Y Cf. A042819, A040909.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 24 2013

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)