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%I #19 Dec 12 2023 08:42:21
%S 0,1,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,
%T 1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,
%U 5,6,1,2,5,6,1,2,5,6,1,2,5,6,1,2,5,6
%N Last digit of A136324. After 0, 1, period 4: repeat [1, 2, 5, 6] = A131800.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F From _Wesley Ivan Hurt_, Jul 08 2016: (Start)
%F G.f.: (x+x^2+2*x^3+5*x^4+5*x^5)/(1-x^4).
%F a(n) = a(n-4) for n>5.
%F a(n) = (7 - I^(2*n) + (2 + 2*I)*I^(-n) + (2 - 2*I)*I^n)/2 for n>1. (End)
%p 0,1,seq(op([1, 2, 5, 6]), n=0..50); # _Wesley Ivan Hurt_, Jul 08 2016
%t PadRight[{0,1}, 120, {5,6,1,2}] (* _Harvey P. Dale_, Jul 14 2014 *)
%o (PARI) a(n)=if(n>1,[6,1,2,5][n%4+1],n)
%o (PARI) concat(0, Vec((x+x^2+2*x^3+5*x^4+5*x^5)/(1-x^4) + O(x^99))) \\ _Altug Alkan_, Jul 08 2016
%o (Magma) [0,1] cat &cat [[1, 2, 5, 6]^^30]; // _Wesley Ivan Hurt_, Jul 08 2016
%Y Cf. A131800, A136324.
%K nonn,easy,base
%O 0,4
%A _Paul Curtz_, May 06 2008
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