

A195739


Triangle read by rows: DX(n,d) = number of properly ddimensional polyominoes with n cells, modulo translations (n>=1, 0 <= d <= n1).


12



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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,6


COMMENTS

According to BarequetBarequetRote, 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 righthand diagonal of this sequence.  Alexander Knapp, May 13 2013


LINKS

Table of n, a(n) for n=1..28.
R. Barequet, G. Barequet, and G. Rote, Formulae and growth rates of highdimensional polycubes, Combinatorica 30 (2010), pp. 257275.
W. F. Lunnon, Counting multidimensional polyominoes. Computer Journal 18 (1975), no. 4, pp. 366367.


EXAMPLE

Triangle begins with DX(1,0):
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
...


CROSSREFS

Columns give A006762, A006763, A006764, A195762. Cf. A195738, A049430.
Diagonals (with formulas) are A127670, A171860, A191092, A259015, A290738.
Sequence in context: A189355 A221817 A054375 * A323128 A334703 A259938
Adjacent sequences: A195736 A195737 A195738 * A195740 A195741 A195742


KEYWORD

nonn,tabl,more


AUTHOR

N. J. A. Sloane, Sep 23 2011


STATUS

approved



