A385381
Triangle read by rows: T(n,k) is the number of polyominoes, i.e., connected nonempty subsets of square cells (or vertices), of the n X k flat torus, up to cyclic shifts and reflections of rows and columns; 1 <= k <= n.
Original entry on oeis.org
1, 2, 5, 3, 10, 28, 4, 21, 102, 801, 5, 40, 382, 6790, 129550, 6, 86, 1788, 68569, 2694721
Offset: 1
Triangle begins:
n\k| 1 2 3 4 5 6
---+---------------------------
1 | 1
2 | 2 5
3 | 3 10 28
4 | 4 21 102 801
5 | 5 40 382 6790 129550
6 | 6 86 1788 68569 2694721 ?
A385382
Number of polyominoes, i.e., connected nonempty subsets of square cells (or vertices), of the n X n flat torus, up to cyclic shifts and reflections of rows and columns.
Original entry on oeis.org
1, 5, 28, 801, 129550
Offset: 1
Cf.
A385384 (interchange of rows and columns of the torus allowed),
A385387 (edge subsets).
A385389
Number of polysticks, i.e., connected nonempty subsets of edges, of the n X n flat torus, up to cyclic shifts and reflections of rows and columns, as well as interchange of rows and columns.
Original entry on oeis.org
2, 23, 3257, 21961750
Offset: 1
Cf.
A385384 (polyominoes),
A385387 (interchange of rows and columns of the torus not allowed).
A385385
Irregular triangle read by rows: T(n,k) is the number of polyominoes of size k, i.e., connected subsets of k square cells (or vertices), of the n X n flat torus, up to cyclic shifts and reflections of rows and columns, as well as interchange of rows and columns; 1 <= k <= n^2.
Original entry on oeis.org
1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 2, 1, 1, 1, 1, 2, 5, 10, 23, 44, 80, 87, 86, 49, 32, 10, 5, 1, 1, 1, 1, 2, 5, 12, 32, 88, 249, 675, 1699, 3747, 6993, 10538, 12531, 11580, 8458, 4975, 2378, 943, 305, 87, 19, 5, 1, 1
Offset: 1
Triangle begins:
1;
1, 1, 1, 1;
1, 1, 2, 3, 4, 4, 2, 1, 1;
1, 1, 2, 5, 10, 23, 44, 80, 87, 86, 49, 32, 10, 5, 1, 1;
...
Showing 1-4 of 4 results.
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