A247443 Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, L, Y.

1, 0, 2, 0, 6, 16, 32, 104, 186, 800, 1700, 4836, 11186, 29940, 84388, 208808, 563364, 1391664, 3787510, 9824684, 25712276, 66815444, 173151378, 457266220, 1188536784, 3113743272, 8087358736, 21152284376, 55283003950, 144314582896, 376852311434, 982507243820

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Alois P. Heinz, G.f. and Maple program for A247443

Wikipedia, Pentomino

Formula

G.f.: see link.

Example

a(5) = 16:
._._______.        ._______._.
| | ._____|        |_. .___| |
| |_| ._| |        | |_| ._| |
| |_. |_. |        | |_. |_. |
|___|_| | |        | ._|_| |_|
|_______|_| (*8)   |_|_______| (*8)  .

Maple

# Maple program: see link.

Crossrefs

Cf. A174249, A233427, A234312, A234931, A247680, A248102, A249762.

Sequence in context: A371913 A307581 A261566 * A362685 A171734 A278746

Adjacent sequences: A247440 A247441 A247442 * A247444 A247445 A247446

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved