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A131029 Periodic sequence (11, 5, 2, 5, 11, 14).

%I A131029 #34 Dec 12 2023 09:24:12
%S A131029 11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,
%T A131029 11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,
%U A131029 5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14,11,5,2,5,11,14
%N A131029 Periodic sequence (11, 5, 2, 5, 11, 14).
%C A131029 Fifth column of triangular array T defined in A131022.
%H A131029 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,-2,1).
%F A131029 a(1) = a(5) = 11, a(2) = a(4) = 5, a(3) = 2, a(6) = 14; for n > 6, a(n) = a(n-6).
%F A131029 G.f.: (11-17*x+14*x^2)/((1-x)*(1-x+x^2)).
%F A131029 a(n) = 3*cos((n-1)/3*Pi)-3*sqrt(3)*sin((n-1)/3*Pi)+8. - _Leonid Bedratyuk_, May 13 2012
%t A131029 PadRight[{},120,{11,5,2,5,11,14}] (* or *) LinearRecurrence[{2,-2,1},{11,5,2},120] (* _Harvey P. Dale_, Jun 12 2017 *)
%o A131029 (PARI) {m=84; for(n=1, m, r=(n-1)%6; print1(if(r==0||r==4, 11, if(r==2, 2, if(r==5, 14, 5))), ","))}
%o A131029 (Magma) m:=84; [ [11, 5, 2, 5, 11, 14][(n-1) mod 6 + 1]: n in [1..m] ];
%o A131029 (Python)
%o A131029 def a(n): return [11, 5, 2, 5, 11, 14][n%6]
%o A131029 print([a(n) for n in range(84)]) # _Michael S. Branicky_, Nov 05 2021
%Y A131029 Cf. A131022. Other columns of T are in A088911, A131026, A131027, A131028, A131030.
%K A131029 nonn,easy
%O A131029 1,1
%A A131029 _Klaus Brockhaus_, following a suggestion of _Paul Curtz_, Jun 10 2007