A367172
a(n) = the maximum number of distinct tilings of a polyiamond of size n using any combination of polyiamond tiles of sizes 1 through n.
Original entry on oeis.org
1, 2, 4, 8, 16, 58, 116, 232, 464, 1690, 3380, 6760, 24712, 49424, 98848, 361258, 722516, 1445032, 5280576, 10561152, 21122304, 77188216
Offset: 1
a(3) = 4 because the triamond can be tiled by (1) a triamond, (2) 3 moniamonds, and (3) a moniamond and a diamond in two distinct ways.
A367174
a(n) = the maximum number of distinct tilings of a polyhex of size n using any combination of polyhex tiles of sizes 1 through n.
Original entry on oeis.org
1, 2, 5, 13, 26, 89, 233, 610, 2179, 5707
Offset: 1
a(3) = 5 because the polyhex of size 3 that has each cell touching both the other cells can be tiled by (1) a polyhex of size 3, (2) 3 polyhexes of size 1, and (3) a polyhex of size 1 and a polyhex of size 2 in three distinct ways.
A367703
a(n) = the maximum number of distinct compositions of a polycube of size n using any combination of polycubes of sizes 1 through n.
Original entry on oeis.org
1, 2, 4, 12, 24, 74, 228, 958, 1916, 6020, 18870
Offset: 1
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