A364617 Number of tilings of a 7 X n rectangle using dominoes and trominoes (of any shape).

1, 3, 280, 17300, 1075397, 68846551, 4263997124, 267855152858, 16785795917908, 1051116421516975, 65871551452359237, 4126577980480405170, 258538236543240798654, 16197912784372244064693, 1014813990592495583029006, 63579642939479330198729573, 3983348112669764700919476270

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..557

Wikipedia, Domino (mathematics)

Wikipedia, Tromino

Example

a(1) = 3:
    ._.   ._.   ._.
    | |   | |   | |
    |_|   |_|   | |
    | |   | |   |_|
    |_|   | |   | |
    | |   |_|   |_|
    | |   | |   | |
    |_|   |_|   |_|   .

Crossrefs

Column k=7 of A364457.

Sequence in context: A051365 A003706 A068250 * A263884 A096126 A057599

Adjacent sequences: A364614 A364615 A364616 * A364618 A364619 A364620

Keyword

nonn

Author

Alois P. Heinz, Jul 29 2023

Extensions

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

Status

approved