A363207 -id:A363207 - cp's OEIS frontend

A368029 Number of free midpoint-free polycubes of size n, identifying rotations and reflections.

1, 1, 1, 4, 5, 18, 33, 70, 110, 246, 526, 1144, 2366, 4689, 8597, 15168, 26367, 46696, 82428, 142991, 240609, 393640, 627305, 975760, 1474671, 2164515, 3084956, 4282222, 5810980, 7776373, 10351373, 13815334, 18556147, 25107905

Offset: 1

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Joerg Arndt , Dec 08 2023

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Midpoint-free means that no three cubes are in positions (x,y,z), (x+dx,y+dx,z+dz), and (x+2*dx,y+2*dx,z+2*dz).

			The polycubes for n <= 5 are:
n=1:
  0,0,0
n=2:
  0,0,0; 0,0,1
n=3:
  0,0,0; 0,0,1; 0,1,0
n=4:
  0,0,0; 0,0,1; 0,1,0; 0,1,1
  0,0,0; 0,0,1; 0,1,0; 1,0,0
  0,0,0; 0,0,1; 0,1,0; 1,0,1
  0,0,0; 0,0,1; 0,1,1; 0,1,2
n=5:
  0,0,0; 0,0,1; 0,1,0; 0,1,1; 1,0,0
  0,0,0; 0,0,1; 0,1,0; 1,0,1; 1,0,2
  0,0,0; 0,0,1; 0,1,0; 1,0,1; 1,1,0
  0,0,0; 0,0,1; 0,1,1; 0,1,2; 1,0,1
  0,0,0; 0,0,1; 0,1,1; 1,1,1; 1,1,2

Cf. A368030, A363203, A363204, A363207.

cp's OEIS Frontend

A368029 Number of free midpoint-free polycubes of size n, identifying rotations and reflections.

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