A364556 Number of tilings of a 5 X n rectangle using dominoes and trominoes (of any shape).

1, 2, 43, 733, 12688, 226922, 3927233, 68846551, 1204757533, 21062468900, 368521437132, 6445706387345, 112749099291387, 1972235696214897, 34498222540798726, 603446574091501719, 10555520988321750183, 184637793249606497610, 3229696298942838688793, 56494043669663414794810

Offset: 0

Author

Alois P. Heinz, Jul 28 2023

Keywords

• nonn

Examples

			a(1) = 2:
    ._.   ._.
    | |   | |
    | |   |_|
    |_|   | |
    | |   | |
    |_|   |_|   .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..805
• Wikipedia, Domino (mathematics)
• Wikipedia, Tromino

Crossrefs

Column k=5 of A364457.

Extensions

Terms n>=4 had to be corrected as was pointed out by Martin Fuller and David Radcliffe - Alois P. Heinz, Apr 05 2025