A286391 -id:A286391

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A278964

Number of tilings of a 6 X n rectangle using pentominoes of shapes L, U, X and monominoes.

+10
3

1, 1, 31, 432, 9851, 150749, 2392788, 38885816, 646657365, 10599739324, 173226495187, 2835753730682, 46501906844608, 762113847626540, 12484929995911672, 204541850515528677, 3351522453919340317, 54915791725126323755, 899777273419073185968

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..824

Wikipedia, Pentomino

EXAMPLE

a(2) = 31:

.___. .___. .___. .___. .___. .___. .___. .___. .___. .___. .___.

|_|_| | ._| | ._| |_|_| |_|_| |_|_| |_. | |_. | |_|_| |_|_| |_|_|

|_|_| | |_| | |_| | ._| |_|_| |_|_| |_| | |_| | |_. | |_|_| |_|_|

|_|_| |___| |___| | |_| | ._| |_|_| |___| |___| |_| | |_. | |_|_|

|_|_| | ._| |_|_| |___| | |_| | ._| |_. | |_|_| |___| |_| | |_. |

|_|_| | |_| |_|_| |_|_| |___| | |_| |_| | |_|_| |_|_| |___| |_| |

|_|_| |___| |_|_| |_|_| |_|_| |___| |___| |_|_| |_|_| |_|_| |___|

.___. .___. .___. .___. .___. .___. .___. .___. .___. .___. .___.

| ._| |_. | | |_| |_|_| |_|_| |_. | |_. | |_|_| |_. | |_|_| |_|_|

| |_| |_| | | |_| | |_| |_|_| | | | |_| | |_. | |_| | |_. | |_|_|

|___| |___| | |_| | |_| | |_| | | | | | | | | | |_| | |_| | |_. |

|_. | | ._| |___| | |_| | |_| | |_| | |_| | | | |_|_| |_| | |_| |

|_| | | |_| |_|_| |___| | |_| |___| | |_| | |_| |_|_| |_|_| |_| |

|___| |___| |_|_| |_|_| |___| |_|_| |___| |___| |_|_| |_|_| |_|_|

.___. .___. .___. .___. .___. .___. .___. .___. .___.

| ._| |_|_| |_|_| | ._| | ._| |_|_| |_|_| |_|_| |_| |

| |_| | ._| |_|_| | | | | |_| | ._| |_|_| |_| | |_| |

| |_| | |_| | ._| | | | | | | | | | |_| | |_| | |_| |

|_|_| | |_| | |_| |_| | |_| | | | | |_| | |_| | |___|

|_|_| |_|_| | |_| |___| |_| | |_| | |_| | |___| |_|_|

|_|_| |_|_| |_|_| |_|_| |___| |___| |___| |_|_| |_|_| .

CROSSREFS

Cf. A247125, A278330, A278456, A278657, A278877, A286391.

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 02 2016

STATUS

approved

A286347

Number of tilings of a 6 X n rectangle using pentominoes of shapes X, Y, T and monominoes.