A251617 Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, I, L, U.

1, 1, 3, 5, 19, 74, 219, 628, 1749, 5486, 17448, 53383, 160169, 479908, 1468366, 4512092, 13782535, 41855766, 127112554, 387469920, 1182800866, 3606789463, 10983721059, 33445214911, 101911804705, 310658892951, 946813182854, 2884825285301, 8789233684468

Offset

0,3

Links

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

Wikipedia, Pentomino

Example

a(4) = 19 = 13 + 4 + 2 = A249762(4) + 4 + 2:
._______.     ._______.
|_____. |     | ._____|
| | ._|_|     |_| ._. |
| | |_. |     | |_| |_|
| |___| |     |_____| |
|___|___| (4) |_______| (2) .

Crossrefs

Cf. A174249, A233427, A247443, A247680, A249762, A251737.

Sequence in context: A181519 A265778 A257866 * A055452 A184254 A077458

Adjacent sequences: A251614 A251615 A251616 * A251618 A251619 A251620

Keyword

nonn

Author

Alois P. Heinz, Dec 05 2014

Status

approved