A364616 Number of tilings of a 6 X n rectangle using dominoes and trominoes (of any shape).

1, 2, 108, 3540, 115958, 3927233, 128441094, 4263997124, 141186107223, 4671227129777, 154679198549385, 5119908497703914, 169488865440883593, 5610718094136694973, 185732776135043052107, 6148417237267189975927, 203533740825252409802705, 6737670699036802296758849

Offset: 0

Author

Alois P. Heinz, Jul 29 2023

Keywords

• nonn

Examples

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

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..500
• Wikipedia, Domino (mathematics)
• Wikipedia, Tromino

Crossrefs

Column k=6 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