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%I #16 Mar 06 2023 11:35:06
%S 15,76,2295,11551,348825,1755676,53019105,266851201,8058555135,
%T 40559626876,1224847361415,6164796433951,186168740379945,
%U 937008498333676,28296423690390225,142419126950284801,4300870232198934255
%N Numerators of continued fraction convergents to sqrt(231).
%H Vincenzo Librandi, <a href="/A041430/b041430.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,152,0,-1).
%F a(n) = 152*a(n-2)-a(n-4). G.f.: -(x^3 - 15*x^2 - 76*x - 15)/(x^4-152*x^2+1). [_Colin Barker_, Jul 15 2012]
%t CoefficientList[Series[- (x^3 - 15 x^2 - 76 x - 15)/(x^4 - 152 x^2 + 1), {x, 0, 20}], x] (* _Vincenzo Librandi_, Oct 27 2013 *)
%t LinearRecurrence[{0,152,0,-1},{15,76,2295,11551},20] (* _Harvey P. Dale_, Mar 06 2023 *)
%Y Cf. A041431.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
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