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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.

A352432 Number of tilings of a 4 X n rectangle using dominoes and 2 X 2 tiles.

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%I A352432 #15 Jan 14 2023 12:41:34
%S A352432 1,1,11,29,165,593,2773,11093,48605,201829,864901,3638261,15472261,
%T A352432 65377669,277294885,1173523013,4972873413,21056700293,89200845765,
%U A352432 377774394309,1600161267781,6777276186821,28705824305861,121582507360709
%N A352432 Number of tilings of a 4 X n rectangle using dominoes and 2 X 2 tiles.
%C A352432 The sequence is based on A352431.
%H A352432 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (3,10,-18,-14,20).
%F A352432 G.f.:(1 - 2*x - 2*x^2 + 4*x^3)/(1 - 3*x - 10*x^2 + 18*x^3 + 14*x^4 - 20*x^5).
%F A352432 a(n) = 3*a(n-1) + 10*a(n-2) - 18*a(n-3) - 14*a(n-4) + 20*a(n-5).
%e A352432 a(2)=11:
%e A352432    ___     ___     ___     ___     ___     ___
%e A352432   |   |   |   |   |   |   | | |   |___|   |___|
%e A352432   |___|   |___|   |___|   |_|_|   |___|   |___|
%e A352432   |   |   | | |   |___|   |   |   |   |   |___|
%e A352432   |___|   |_|_|   |___|   |___|   |___|   |___|
%e A352432 .
%e A352432        ___     ___     ___     ___     ___
%e A352432       |___|   | | |   |___|   |___|   | | |
%e A352432       |   |   |_|_|   | | |   |___|   |_|_|
%e A352432       |___|   | | |   |_|_|   | | |   |___|
%e A352432       |___|   |_|_|   |___|   |_|_|   |___|
%Y A352432 Cf. A352431, A352433.
%K A352432 nonn
%O A352432 0,3
%A A352432 _Gerhard Kirchner_, Mar 17 2022