A247767 Number of tilings of a 5 X n rectangle using n pentominoes of any but the I shape.

1, 0, 4, 47, 394, 2082, 15113, 111664, 789930, 5388729, 37962036, 267900038, 1877701685, 13141471298, 92221485370, 647245199343, 4539199525168, 31832400653712, 223293082430497, 1566297779277274, 10986034079244754, 77056637214925187, 540492511401025908

Offset: 0

Author

Alois P. Heinz, Sep 23 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Vaclav Kotesovec, Recurrence (of order 118) and g.f.
• Wikipedia, Pentomino

Crossrefs

Column k=0 of A247703.

Cf. A174249, A233427.

Formula

a(n) ~ c * d^n, where d = 7.01416750857825226506514643912781291412359726219671934675693027314..., c = 0.13222555150807010834232270820065757694578512718826743587412093176... . - Vaclav Kotesovec, Mar 05 2016