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

1,2

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.

Links

Table of n, a(n) for n=1..29.

Crossrefs

Cf. A229914, A227926.

Sequence in context: A146845 A192310 A167710 * A264080 A290588 A272149

Adjacent sequences: A229921 A229922 A229923 * A229925 A229926 A229927

Keyword

nonn

Author

Matthieu Deneufchâtel, Oct 03 2013

Status

approved