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 A193669 #23 Apr 07 2024 08:49:12
%S A193669 1,1,1,1,0,0,0,0,-1,-2,-3,-4,-4,-4,-4,-4,-3,-1,2,6,10,14,18,22,25,26,
%T A193669 24,18,8,-6,-24,-46,-71,-97,-121,-139,-147,-141,-117,-71,0,97,218,357,
%U A193669 504,645,762,833,833,736,518,161,-343,-988,-1750,-2583,-3416,-4152
%N A193669 Expansion of o.g.f.(1-x^4)/(1-x+x^8).
%C A193669 The Gi1 sums, see A180662, of triangle A108299 equal the terms of this sequence.
%H A193669 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,-1).
%F A193669 G.f.: -(x-1)*(1+x)*(x^2+1) / ( (x^2-x+1)*(x^6+x^5-x^3-x^2+1) ).
%F A193669 a(n) = a(n-1) - a(n-8), a(0) = a(1) = a(2) = a(3) = 1, a(4) = a(5) = a(6) = a(7) = 0.
%p A193669 A193669 := proc(n) option remember: coeftayl((1-x^4) / (1-x+x^8) ,x=0,n) end: seq(A193669(n), n=0..57);
%t A193669 CoefficientList[Series[(1-x^4)/(1-x+x^8),{x,0,80}],x] (* or *) LinearRecurrence[ {1,0,0,0,0,0,0,-1},{1,1,1,1,0,0,0,0},80] (* _Harvey P. Dale_, Jul 16 2014 *)
%Y A193669 Cf. A108299, A180662.
%K A193669 sign,easy
%O A193669 0,10
%A A193669 _Johannes W. Meijer_, Aug 11 2011