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%I #15 Oct 13 2013 10:15:32
%S 1,4,7,16,22,46,58,107,140,227,287,464,563,851,1067,1530,1866,2661,
%T 3198,4428,5361,7185,8613,11524,13639,17839,21272,27359,32300,41369,
%U 48512,61311,72105,89904,105226,130834,152164,187297,218356,266444,309125,375995,434670,525045,607329,728256,839874,1004938
%N Numbers of espalier polycubes of a given volume in dimension 4.
%C 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.
%C 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.
%C A (d+1)-espalier is a (d+1)-pyramid such that each plateau contains the cell (n_0,0,...,0).
%Y Cf. A229915, A227925.
%K nonn
%O 1,2
%A _Matthieu Deneufchâtel_, Oct 03 2013
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