%I #7 Jul 29 2023 20:29:30
%S 1,2,108,3540,110017,3710880,118624712,3899306587,127878970311,
%T 4189728321930,137392239151483,4503668012714799,147644019131706564,
%U 4840231631630848470,158674875169222078088,5201817700816057866925,170529855092392357493695,5590439274972944626211771
%N Number of tilings of a 6 X n rectangle using dominoes and trominoes (of any shape).
%H Alois P. Heinz, <a href="/A364616/b364616.txt">Table of n, a(n) for n = 0..660</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Domino_(mathematics)">Domino (mathematics)</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tromino">Tromino</a>
%e a(1) = 2:
%e ._. ._.
%e | | | |
%e |_| | |
%e | | |_|
%e |_| | |
%e | | | |
%e |_| |_| .
%Y Column k=6 of A364457.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jul 29 2023