A229924 Numbers of pyramid polycubes of a given volume in dimension 5.

1, 5, 13, 35, 81, 165, 329, 587, 1059, 1807, 2939, 4633, 7431, 11391, 17091, 25372, 37343, 53913, 77393, 109273, 153857, 214409, 295293, 403545, 551715, 745643, 1001721, 1339677, 1784109

Offset: 1

Author

Matthieu Deneufchâtel, Oct 03 2013

Keywords

• nonn

Comments

A (d+1)-pyramid polycube is a (d+1)-polycube obtained by gluing together horizontal (d+1)-plateaux (parallelepipeds of height 1) in such a way that the cell (0,0,...,0) belongs to the first plateau and each cell with coordinates (0,n_1,...,n_d) belonging to the first plateau is such that n_1 , ... , n_d >= 0.

If the cell with coordinates (n_0,n_1,...,n_d) belongs to the (n_0+1)-st plateau (n_0>0), then the cell with coordinates (n_0-1, n_1, ... ,n_d) belongs to the n_0-th plateau.

Crossrefs

Cf. A229914, A227926.