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%I #18 Jan 03 2023 05:50:39
%S 17,4700,1194161,303312572,77040199505,19567907362076,
%T 4970171429768177,1262403975253755260,320645639543024068241,
%U 81442730039952859578332,20686132784508483308828465,5254196284535114807582852156,1334545170139134652642735619537,338969219019055666656447264510620
%N a(0) = 17, a(1) = 4700, thereafter a(n) = 254*a(n-1) - a(n-2) + 378.
%C Arises in studying the equation x^3 - 7*y^2 = 1.
%D P.-F. Teilhet, Query 2228, L'Intermédiaire des Mathématiciens, 11 (1904), 44-45.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (255,-255,1).
%F From _Chai Wah Wu_, Mar 07 2022: (Start)
%F a(n) = 255*a(n-1) - 255*a(n-2) + a(n-3) for n > 3.
%F G.f.: (4*x^2 - 365*x - 17)/((x - 1)*(x^2 - 254*x + 1)). (End)
%Y Cf. A350979, A350981.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_, Mar 06 2022