A247766 Number of tilings of a 5 X n rectangle using n pentominoes of any but the F shape.

1, 1, 5, 52, 437, 3342, 21734, 155685, 1153475, 8422634, 60853524, 438333924, 3175356262, 23029289042, 166811590187, 1207552045117, 8742472744191, 63314217459429, 458530998840648, 3320452657540486, 24044504957977794, 174117682083426003, 1260888371373690768

Offset

0,3

Links

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

Wikipedia, Pentomino

Formula

a(n) ~ c * d^n, where d = 7.241529119192925682256364476268481441420871104664776204493646758..., c = 0.152901253189973886265833028181003326101047083395939246873454890... . - Vaclav Kotesovec, Mar 05 2016

Crossrefs

Column k=0 of A247702.

Cf. A174249, A233427.

Sequence in context: A281202 A173719 A081075 * A247777 A193809 A134111

Adjacent sequences: A247763 A247764 A247765 * A247767 A247768 A247769

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved