A229925 - OEIS

%I #18 Oct 13 2013 10:17:35

%S 1,5,9,23,31,71,87,173,223,379,471,801,951,1495,1851,2736,3282,4832,

%T 5708,8126,9704,13290,15694,21496,25038,33396,39330,51452

%N Numbers of espalier 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.

%C A (d+1)-espalier is a (d+1)-pyramid such that each plateau contains the cell (n_0,0,...,0).

%Y Cf. A227925, A229915.

%K nonn

%O 1,2

%A _Matthieu Deneufchâtel_, Oct 03 2013