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 A036682 #18 Aug 27 2025 03:55:07
%S A036682 3,10,32,84,207,478,1060,2272,4744,9692,19446,38420,74909,144378,
%T A036682 275464,520864,977005,1819426,3366182,6191056,11325040,20613800,
%U A036682 37350060,67389320,121113335,216877274,387048080,688559356,1221323947
%N A036682 T(n+3,3) with T as in A036355.
%H A036682 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-8,5,8,-2,-4,-1).
%F A036682 G.f.: (-2*x^2-2*x+3)/(1-x-x^2)^4.
%F A036682 a(0)=3, a(1)=10, a(2)=32, a(3)=84, a(4)=207, a(5)=478, a(6)=1060, a(7)=2272, a(n) = 4*a(n-1)-2*a(n-2)-8*a(n-3)+5*a(n-4)+8*a(n-5)-2*a(n-6)-4*a(n-7)-a(n-8). - _Harvey P. Dale_, May 06 2012
%F A036682 a(n) = 3*A001872(n)-2*A001872(n-1)-2*A001872(n-2) = A001872(n)+2*A001628(n). - _R. J. Mathar_, Jul 03 2022
%t A036682 CoefficientList[Series[(-2x^2-2x+3)/(1-x-x^2)^4,{x,0,30}],x] (* or *) LinearRecurrence[{4,-2,-8,5,8,-2,-4,-1},{3,10,32,84,207,478,1060,2272},30] (* _Harvey P. Dale_, May 06 2012 *)
%Y A036682 Cf. A036355, A001872, A001628.
%K A036682 nonn,easy,changed
%O A036682 0,1
%A A036682 _Floor van Lamoen_