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%I #16 Jun 26 2022 23:38:39
%S 31,962,59675,1850887,114814669,3561105626,220903363481,6851565373537,
%T 425017956522775,13182408217579562,817734327446455619,
%U 25362946559057703751,1573320420989024088181,48798295997218804437362,3027067672248554899204625,93887896135702420679780737
%N Numerators of continued fraction convergents to sqrt(963).
%H Vincenzo Librandi, <a href="/A042862/b042862.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, 1924, 0, -1).
%F G.f.: (31 + 962*x + 31*x^2 - x^3)/(1 - 1924*x^2 + x^4). - _Vincenzo Librandi_, Dec 08 2013
%F a(n) = 1924*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 08 2013
%t Numerator[Convergents[Sqrt[963], 30]] (* or *) CoefficientList[Series[(31 + 962 x + 31 x^2 - x^3)/(1 - 1924 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 08 2013 *)
%o (Magma) I:=[ 31, 962, 59675, 1850887]; [n le 4 select I[n] else 1924*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 08 2013
%Y Cf. A042863.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_
%E More terms from _Vincenzo Librandi_, Dec 08 2013
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