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A195739
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Triangle read by rows: DX(n,d) = number of properly d-dimensional polyominoes with n cells, modulo translations (n>=1, 0 <= d <= n-1).
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7
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1, 0, 1, 0, 1, 4, 0, 1, 17, 32, 0, 1, 61, 348, 400, 0, 1, 214, 2836, 8640, 6912, 0, 1, 758, 21225, 129288, 254800, 153664
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OFFSET
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1,6
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COMMENTS
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According to Barequet-Barequet-Rote, p. 260, the value DX(7, 6) = 134209 given by W. F. Lunnon is incorrect; it should be 153664, see A127670; this also affects A195762 which is the right-hand diagonal of this sequence. - Alexander Knapp, May 13 2013
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LINKS
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Table of n, a(n) for n=1..28.
R. Barequet, G. Barequet, and G. Rote, Formulae and growth rates of high-dimensional polycubes, Combinatorica 30 (2010), pp. 257-275.
W. F. Lunnon, Counting multidimensional polyominoes. Computer Journal 18 (1975), no. 4, pp. 366-367.
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EXAMPLE
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Triangle begins:
n\d 0 1 2 3 4 5 6 7
-------------------
1...1
2...0 1
3...0 1 4
4...0 1 17 32
5...0 1 61 348 400
6...0 1 214 2836 8640 6912
7...0 1 758 21225 129288 254800 134209
...
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CROSSREFS
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Columns give A006762, A006763, A006764, A195762. Cf. A195738, A049430.
Sequence in context: A189355 A221817 A054375 * A136452 A067565 A010635
Adjacent sequences: A195736 A195737 A195738 * A195740 A195741 A195742
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KEYWORD
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nonn,tabl,changed
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AUTHOR
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N. J. A. Sloane, Sep 23 2011
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STATUS
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approved
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