A220127 Number of tilings of a 10 X n rectangle using integer-sided rectangular tiles of area 10.

1, 1, 2, 3, 5, 9, 15, 26, 44, 75, 254, 470, 1130, 2150, 4369, 8889, 17112, 33235, 62619, 117687, 259213, 500978, 1073742, 2114851, 4334588, 8817832, 17673956, 35420952, 69871967, 137274169, 281650158, 556043329, 1139084899, 2264971273, 4589226181, 9256382600

Offset: 0

Author

Alois P. Heinz, Dec 06 2012

Keywords

• nonn

Examples

			a(4) = 5, because there are 5 tilings of a 10 X 4 rectangle using integer-sided rectangular tiles of area 10:
._._._._.   .___._._.   ._.___._.   ._._.___.   .___.___.
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |___| | |   | |___| |   | | |___|   |___|___|
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
| | | | |   |   | | |   | |   | |   | | |   |   |   |   |
|_|_|_|_|   |___|_|_|   |_|___|_|   |_|_|___|   |___|___|
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..100

Crossrefs

Column k=10 of A220122.