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 A229917 Numbers of espalier polycubes of a given volume in dimension 4. 1
 1, 4, 7, 16, 22, 46, 58, 107, 140, 227, 287, 464, 563, 851, 1067, 1530, 1866, 2661, 3198, 4428, 5361, 7185, 8613, 11524, 13639, 17839, 21272, 27359, 32300, 41369, 48512, 61311, 72105, 89904, 105226, 130834, 152164, 187297, 218356, 266444, 309125, 375995, 434670, 525045, 607329, 728256, 839874, 1004938 (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 CROSSREFS Cf. A229915, A227925. Sequence in context: A325657 A054599 A285998 * A095755 A245937 A259653 Adjacent sequences:  A229914 A229915 A229916 * A229918 A229919 A229920 KEYWORD nonn AUTHOR Matthieu Deneufchâtel, Oct 03 2013 STATUS approved

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Last modified August 7 17:02 EDT 2020. Contains 336277 sequences. (Running on oeis4.)