cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A131714 Period 6: repeat [1, -2, 2, -1, 2, -2].

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%I A131714 #14 Dec 12 2023 09:15:40
%S A131714 1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,
%T A131714 -1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,
%U A131714 1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2,2,-1,2,-2,1,-2
%N A131714 Period 6: repeat [1, -2, 2, -1, 2, -2].
%H A131714 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,-1).
%F A131714 G.f.: (1-2*x+2*x^2)/(x+1)/(x^2-x+1). - _R. J. Mathar_, Nov 14 2007
%F A131714 From _Wesley Ivan Hurt_, Jun 19 2016: (Start)
%F A131714 a(n) + a(n-3) = 0 for n>2.
%F A131714 a(n) = (5*cos(n*Pi)-2*cos(n*Pi/3))/3. (End)
%p A131714 A131714:=n->[1, -2, 2, -1, 2, -2][(n mod 6)+1]: seq(A131714(n), n=0..100); # _Wesley Ivan Hurt_, Jun 19 2016
%t A131714 PadRight[{}, 200, {1, -2, 2, -1, 2, -2}] (* _Wesley Ivan Hurt_, Jun 19 2016 *)
%o A131714 (Magma) &cat[[1, -2, 2, -1, 2, -2]^^20]; // _Wesley Ivan Hurt_, Jun 19 2016
%Y A131714 Cf. A130196, A131556.
%K A131714 sign,easy
%O A131714 0,2
%A A131714 _Paul Curtz_, Sep 14 2007