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A041542 Numerators of continued fraction convergents to sqrt(288). 2

%I

%S 16,17,560,577,19024,19601,646256,665857,21953680,22619537,745778864,

%T 768398401,25334527696,26102926097,860628162800,886731088897,

%U 29236023007504,30122754096401,993164154092336,1023286908188737,33738345216131920,34761632124320657

%N Numerators of continued fraction convergents to sqrt(288).

%H Vincenzo Librandi, <a href="/A041542/b041542.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,34,0,-1).

%F G.f.: (16 + 17*x + 16*x^2 - x^3)/((1 - 6*x + x^2)*(1 + 6*x + x^2)). [_Bruno Berselli_, Nov 04 2013]

%t Numerator[Convergents[Sqrt[288], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%t LinearRecurrence[{0, 34, 0, -1}, {16, 17, 560, 577}, 30] (* _Bruno Berselli_, Nov 04 2013 *)

%Y Cf. A041543.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified October 7 12:03 EDT 2022. Contains 357271 sequences. (Running on oeis4.)