A247196 -id:A247196

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A247103

Number of tilings of a 5 X n rectangle using n pentominoes of shapes I, N, P, U, T.

+10
3

1, 1, 3, 11, 33, 166, 589, 2216, 8935, 33984, 137056, 539085, 2100341, 8324716, 32607928, 128652672, 507032667, 1992083368, 7853132654, 30894420646, 121642017784, 479048967517, 1885229164497, 7423732617043, 29223734864421, 115048209160729, 452968829090506

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

OFFSET

0,3

LINKS

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

Wikipedia, Pentomino

EXAMPLE

a(3) = 11:

._____. ._____. ._____. ._____.

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

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

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

| | | | | |_| | | | | |_| |

|_|_|_| (1) |_____| (4) |_|___| (4) |_____| (2) .

CROSSREFS

Cf. A174249, A233427, A247196.

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 20 2014

STATUS

approved

A246764

Number of tilings of a 5 X n rectangle using n pentominoes of shapes P, I, N, T.

+10
2

1, 1, 3, 7, 17, 78, 247, 916, 3301, 11272, 41854, 150485, 538585, 1954912, 6978464, 25170446, 90851829, 326048198, 1176355862, 4230352602, 15222263126, 54855015353, 197302183497, 710556528403, 2557837610375, 9205575728179, 33148388282116, 119307072980025