A229916 Numbers of pyramid polycubes of a given volume in dimension 4

1, 4, 10, 25, 55, 109, 211, 371, 651, 1092, 1767, 2775, 4383, 6666, 9990, 14806, 21695, 31265, 44852, 63365, 89132, 124250, 171560, 235140, 321661, 435670, 587219, 787663, 1051669, 1396309, 1848190, 2432288, 3192615, 4174278, 5435945, 7054030, 9134731, 11779666, 15152584, 19436993, 24867486

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 with coordinates (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..41.

Crossrefs

Cf. A229914, A227926.

Sequence in context: A254233 A300760 A347481 * A113412 A227712 A159297

Adjacent sequences: A229913 A229914 A229915 * A229917 A229918 A229919

Keyword

nonn

Author

Matthieu Deneufchâtel, Oct 03 2013

Status

approved