A278878 Number of tilings of a 7 X n rectangle using pentominoes of any shape and monominoes.

1, 4, 508, 76003, 9616962, 1178422563, 147382229321, 18446349150367, 2306845502243104, 288660593026069762, 36110872742261362007, 4516714276347536995415, 564976767651757484324113, 70671912291059592748455901, 8840222401663200361818980813

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Wikipedia, Pentomino

Example

a(1) = 4:
._.   ._.   ._.   ._.
|_|   | |   |_|   |_|
|_|   | |   | |   |_|
|_|   | |   | |   | |
|_|   | |   | |   | |
|_|   |_|   | |   | |
|_|   |_|   |_|   | |
|_|   |_|   |_|   |_|  .

Crossrefs

Column k=7 of A278657.

Sequence in context: A022919 A253904 A268468 * A348703 A291830 A368370

Adjacent sequences: A278875 A278876 A278877 * A278879 A278880 A278881

Keyword

nonn

Author

Alois P. Heinz, Nov 29 2016

Status

approved