A364640 Number of tilings of a 10 X n rectangle using dominoes and trominoes (of any shape).

1, 7, 4832, 2011408, 848550447, 368521437132, 154679198549385, 65871551452359237, 27983642750014402471, 11878705076408687696978, 5046393600526600826576990, 2143056706386201138428021036, 910185960619655990533522509279, 386568166093787098350944666459955

Offset: 0

Author

Alois P. Heinz, Jul 30 2023

Keywords

• nonn

Examples

			a(1) = 7:
    ._.   ._.   ._.   ._.   ._.   ._.   ._.
    | |   | |   | |   | |   | |   | |   | |
    |_|   | |   |_|   | |   |_|   |_|   | |
    | |   |_|   | |   |_|   | |   | |   |_|
    |_|   | |   |_|   | |   | |   | |   | |
    | |   | |   | |   |_|   |_|   |_|   |_|
    |_|   |_|   | |   | |   | |   | |   | |
    | |   | |   |_|   |_|   | |   |_|   | |
    |_|   |_|   | |   | |   |_|   | |   |_|
    | |   | |   | |   | |   | |   | |   | |
    |_|   |_|   |_|   |_|   |_|   |_|   |_|   .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..120
• Wikipedia, Domino (mathematics)
• Wikipedia, Tromino

Crossrefs

Column k=10 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