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A229924
Numbers of pyramid polycubes of a given volume in dimension 5.
0
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
1,2
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
Sequence in context: A146845 A192310 A167710 * A264080 A290588 A272149
KEYWORD
nonn
AUTHOR
STATUS
approved