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A353777 Number of tilings of an n X n square using dominoes, monominoes and 2 X 2 tiles.

%I A353777 #13 May 08 2022 12:08:05
%S A353777 1,1,8,163,15623,5684228,8459468955,50280716999785,
%T A353777 1202536689448371122,115462301811597894998929,
%U A353777 44537596159273736617786474211,69003082378039459280864860681919942,429429579883061866326542598342441907826951,10734684843612889640707750537898705644071715970757
%N A353777 Number of tilings of an n X n square using dominoes, monominoes and 2 X 2 tiles.
%H A353777 Alois P. Heinz, <a href="/A353777/b353777.txt">Table of n, a(n) for n = 0..17</a>
%H A353777 Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>
%F A353777 a(n) = A352589(n,n).
%e A353777 a(2) = 8:
%e A353777   .___.  .___.  .___.  .___.  .___.  .___.  .___.  .___.
%e A353777   |   |  |_|_|  |___|  | | |  |_|_|  |___|  |_| |  | |_|
%e A353777   |___|  |_|_|  |___|  |_|_|  |___|  |_|_|  |_|_|  |_|_| .
%Y A353777 Main diagonal of A352589.
%Y A353777 Cf. A004003, A028420, A063443, A219874, A219952, A219994, A220061, A220778, A233807, A270071.
%K A353777 nonn
%O A353777 0,3
%A A353777 _Alois P. Heinz_, May 07 2022