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.
%I A112713 #33 May 11 2024 17:16:14
%S A112713 0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,
%T A112713 1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,
%U A112713 0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0
%N A112713 Expansion of x/(1 - x + x^5 - x^6).
%C A112713 Decimal expansion of 10000/900009. - _Elmo R. Oliveira_, May 08 2024
%H A112713 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,-1,1).
%F A112713 G.f.: x/(1 - x + x^5 - x^6) = x/((1-x)*(1+x)*(1-x+x^2-x^3+x^4)).
%F A112713 a(n) = a(n-1) - a(n-5) + a(n-6).
%F A112713 a(n) = a(n-10).
%F A112713 a(n) = (Sum_{k=0..floor((n+2)/2)} (-1)^(k+1)*C(n-k+2, k-1)*F(n-2*k+2)) mod 2.
%F A112713 a(n) = A112712(n) mod 2.
%t A112713 CoefficientList[Series[x/(1 - x + x^5 - x^6), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, -1, 1}, {0, 1, 1, 1, 1, 1}, 100] (* _Harvey P. Dale_, Feb 16 2014 *)
%Y A112713 Cf. A000035, A133872, A088911, A131078, A112712.
%K A112713 nonn,easy
%O A112713 0,1
%A A112713 _Paul Barry_, Sep 15 2005
%E A112713 Incorrect g.f. removed by _Georg Fischer_, May 15 2019