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%I #23 Feb 02 2024 08:31:40
%S 1,6,36,217,1302,7812,46873,281238,1687428,10124569,60747414,
%T 364484484,2186906905,13121441430,78728648580,472371891481,
%U 2834231348886,17005388093316,102032328559897,612193971359382,3673163828156292,22038982968937753,132233897813626518
%N Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,0,1,-6).
%F a(n) = 6a(n-1) + a(n-3) - 6a(n-4).
%F G.f.: x/((1-x^3)*(1-6*x)) = 36/(215*(1-6*x))+(-6*x^2-x-36)/(215*(1-x^3)). - _Tani Akinari_, Jul 18 2014
%F a(n) = floor((36/215)*6^n). - _Tani Akinari_, Jul 18 2014
%t LinearRecurrence[{6, 0, 1, -6}, {1, 6, 36, 217}, 30] (* or *)
%t Floor[36/215*6^Range[30]] (* _Paolo Xausa_, Feb 02 2024 *)
%o (PARI) Vec(x/((1-x^3)*(1-6*x)) + O(x^50)) \\ _Tani Akinari_, Jul 18 2014
%K nonn,base,easy
%O 1,2
%A _Clark Kimberling_