A300124 Number of ways to tile the diagram of an integer partition of n using connected skew partitions.

1, 4, 12, 42, 120, 416, 1184, 3888

Offset

1,2

Comments

The diagram of a connected skew partition is required to be connected as a polyomino but can have empty rows or columns.

Links

Table of n, a(n) for n=1..8.

Solomon W. Golomb, Tiling with polyominoes, Journal of Combinatorial Theory, 1-2 (1966), 280-296.

Gus Wiseman, Connected tilings n = 1..4.

Gus Wiseman, Connected tilings n = 5.

Gus Wiseman, Connected tilings n = 6.

Crossrefs

Cf. A000085, A000898, A006958, A138178, A259479, A259480, A296561, A297388, A299926, A300120, A300122, A300123.

Sequence in context: A242471 A239800 A237501 * A343517 A308371 A052303

Adjacent sequences: A300121 A300122 A300123 * A300125 A300126 A300127

Keyword

nonn,more

Author

Gus Wiseman, Feb 25 2018

Status

approved