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 A322039 #11 Dec 04 2018 07:42:39 %S A322039 1,0,4,-4,16,-28,72,-148,336,-716,1560,-3332,7136,-15164,32168,-67956, %T A322039 143216,-300972,631096,-1320420,2757376,-5747740,11961544,-24855124, %U A322039 51574416,-106877068,221210712,-457334468,944495136,-1948642556 %N A322039 Expansion of (1 + x)^2 / ((1 - x)^2*(1 + 2*x)^2). %C A322039 Connected with tiling of torus by squares (see A322038). %H A322039 Colin Barker, <a href="/A322039/b322039.txt">Table of n, a(n) for n = 0..1000</a> %H A322039 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-2,3,4,-4). %F A322039 From _Colin Barker_, Dec 04 2018: (Start) %F A322039 a(n) = -2*a(n-1) + 3*a(n-2) + 4*a(n-3) - 4*a(n-4) for n>3. %F A322039 a(n) = (16 + 11*(-2)^n + 3*(4+(-2)^n)*n) / 27. %F A322039 (End) %t A322039 LinearRecurrence[{-2, 3, 4, -4}, {1, 0, 4, -4}, 100] (* _Amiram Eldar_, Dec 04 2018 *) %o A322039 (PARI) Vec((1 + x)^2 / ((1 - x)^2*(1 + 2*x)^2) + O(x^40)) \\ _Colin Barker_, Dec 04 2018 %Y A322039 Cf. A322038, A322040. %K A322039 sign,easy %O A322039 0,3 %A A322039 _N. J. A. Sloane_, Dec 03 2018