%I #15 Oct 13 2013 10:16:44

%S 1,5,13,35,81,165,329,587,1059,1807,2939,4633,7431,11391,17091,25372,

%T 37343,53913,77393,109273,153857,214409,295293,403545,551715,745643,

%U 1001721,1339677,1784109

%N Numbers of pyramid polycubes of a given volume in dimension 5.

%C 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.

%C 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.

%Y Cf. A229914, A227926.

%K nonn

%O 1,2

%A _Matthieu Deneufchâtel_, Oct 03 2013