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

1, 7, 4832, 2011408, 788413732, 338492165113, 137392239151483, 56812094297072361, 23450223795056965768, 9661365299560395267479, 3986225747511059714872292, 1659381795764172958697150213, 690830705841882281971622500463, 287606286776941725257756705794089

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200

Wikipedia, Domino (mathematics)

Wikipedia, Tromino

Example

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

Crossrefs

Column k=10 of A364457.

Sequence in context: A361452 A338250 A103856 * A340292 A095155 A219893

Adjacent sequences: A364637 A364638 A364639 * A364641 A364642 A364643

Keyword

nonn

Author

Alois P. Heinz, Jul 30 2023

Status

approved