A247768 Number of tilings of a 5 X n rectangle using n pentominoes of any but the L shape.

1, 1, 3, 36, 177, 1300, 8866, 54849, 372943, 2466986, 16335736, 108823634, 719573862, 4776148981, 31691581679, 210171600724, 1394511598079, 9249464911748, 61356588838016, 407022840274446, 2699962045755658, 17910503042677994, 118809774179725990

Offset: 0

Author

Alois P. Heinz, Sep 23 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..500
• Wikipedia, Pentomino

Crossrefs

Column k=0 of A247704.

Cf. A174249, A233427.

Formula

a(n) ~ c * d^n, where d = 6.63354739064799173452910396285896274912377276863088340465087347768..., c = 0.09918446577271493875329249874198830860996222825871620867051185835... . - Vaclav Kotesovec, Mar 05 2016