A364556 Number of tilings of a 5 X n rectangle using dominoes and trominoes (of any shape).

1, 2, 43, 733, 12688, 226922, 3927233, 68846551, 1204757533, 21062468900, 368521437132, 6445706387345, 112749099291387, 1972235696214897, 34498222540798726, 603446574091501719, 10555520988321750183, 184637793249606497610, 3229696298942838688793, 56494043669663414794810

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..805

Wikipedia, Domino (mathematics)

Wikipedia, Tromino

Example

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

Crossrefs

Column k=5 of A364457.

Sequence in context: A240550 A142199 A109948 * A188683 A119775 A375620

Adjacent sequences: A364553 A364554 A364555 * A364557 A364558 A364559

Keyword

nonn

Author

Alois P. Heinz, Jul 28 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