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%I #9 May 24 2018 16:05:25
%S 1,1,2,2,4,4,8,4,10,8,16,8,32,16,20,8,64,20,128,16,40,32,256,16,52,64,
%T 52,32,512,40,1024,16,80,128,104,40,2048,256,160,32,4096,80,8192,64,
%U 104,512,16384,32,272,104
%N Number of ways to tile the diagram of the integer partition with Heinz number 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. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%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="/A300123/a300123.png">The a(25) = 52 connected tilings of (3,3).</a>
%Y Cf. A000085, A000898, A056239, A006958, A238690, A259479, A259480, A296150, A296561, A297388, A299699, A299925, A299926, A300060, A300118, A300120, A300121, A300122, A300124.
%K nonn
%O 1,3
%A _Gus Wiseman_, Feb 25 2018
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