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A229916 Numbers of pyramid polycubes of a given volume in dimension 4 0
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 (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 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: A298018 A254233 A300760 * A113412 A227712 A159297

Adjacent sequences:  A229913 A229914 A229915 * A229917 A229918 A229919

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.)