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A229925 Numbers of espalier polycubes of a given volume in dimension 5. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A058893 A263830 A194802 * A280030 A074340 A079993

Adjacent sequences:  A229922 A229923 A229924 * A229926 A229927 A229928

KEYWORD

nonn

AUTHOR

Matthieu Deneufchâtel, Oct 03 2013

STATUS

approved

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Last modified November 20 02:57 EST 2018. Contains 317371 sequences. (Running on oeis4.)