A229925 Numbers of espalier polycubes of a given volume in dimension 5.

1, 5, 9, 23, 31, 71, 87, 173, 223, 379, 471, 801, 951, 1495, 1851, 2736, 3282, 4832, 5708, 8126, 9704, 13290, 15694, 21496, 25038, 33396, 39330, 51452

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.

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

Links

Table of n, a(n) for n=1..28.

Crossrefs

Cf. A227925, A229915.

Sequence in context: A263830 A343803 A194802 * A280030 A074340 A079993

Adjacent sequences: A229922 A229923 A229924 * A229926 A229927 A229928

Keyword

nonn

Author

Matthieu Deneufchâtel, Oct 03 2013

Status

approved