A364632 Number of tilings of an 8 X n rectangle using dominoes and trominoes (of any shape).

1, 4, 727, 84479, 9935791, 1204757533, 141186107223, 16785795917908, 1990875917805852, 235938457227641114, 27983642750014402471, 3317789294005871444981, 393402890773982287366724, 46647231741875687157655718, 5531042470843072944881265311, 655831959035571795593459804091

Offset: 0

Author

Alois P. Heinz, Jul 30 2023

Keywords

• nonn

Examples

			a(1) = 4:
    ._.   ._.   ._.   ._.
    | |   | |   | |   | |
    |_|   |_|   | |   | |
    | |   | |   |_|   |_|
    |_|   | |   | |   | |
    | |   |_|   |_|   | |
    |_|   | |   | |   |_|
    | |   | |   | |   | |
    |_|   |_|   |_|   |_|   .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..482
• Wikipedia, Domino (mathematics).
• Wikipedia, Tromino.

Crossrefs

Column k=8 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