A226374 Number of tilings of a 10 X n rectangle using integer-sided square tiles of area > 1.

1, 0, 1, 0, 8, 1, 40, 2, 160, 17, 796, 104, 3722, 480, 17398, 2687, 82803, 13994, 391543, 71546, 1856274, 370012, 8811898, 1887331, 41818642, 9587496, 198572128, 48548770, 943058746, 244715696, 4479189932, 1229654538, 21277462741, 6160387914, 101081540520

Offset

0,5

Links

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

Alois P. Heinz, G.f. and Maple program for A226374

Formula

See link for g.f.

Example

a(7) = 2:
._._._._._._._.   ._._._._._._._.
|   |         |   |         |   |
|___|         |   |         |___|
|   |         |   |         |   |
|___|         |   |         |___|
|   |_________|   |_________|   |
|___|         |   |         |___|
|   |         |   |         |   |
|___|         |   |         |___|
|   |         |   |         |   |
|___|_________|   |_________|___|

Maple

# see link for Maple program.

Crossrefs

Column k=10 of A226206.

Sequence in context: A341739 A286919 A286260 * A050401 A333403 A271060

Adjacent sequences: A226371 A226372 A226373 * A226375 A226376 A226377

Keyword

nonn,easy

Author

Alois P. Heinz, Jun 05 2013

Status

approved