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Number of ways to tile the diagram of an integer partition of n using connected skew partitions.
6

%I #10 May 24 2018 16:06:38

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

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

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

%H Solomon W. Golomb, <a href="https://doi.org/10.1016/S0021-9800(66)80033-9">Tiling with polyominoes</a>, Journal of Combinatorial Theory, 1-2 (1966), 280-296.

%H Gus Wiseman, <a href="/A300124/a300124.png">Connected tilings n = 1..4.</a>

%H Gus Wiseman, <a href="/A300124/a300124_1.png">Connected tilings n = 5.</a>

%H Gus Wiseman, <a href="/A300124/a300124_2.png">Connected tilings n = 6.</a>

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

%K nonn,more

%O 1,2

%A _Gus Wiseman_, Feb 25 2018