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A125709
Number of n-indecomposable polyominoes with at least n cells.
6
1, 5, 32, 444, 13375, 684215, 52267513
OFFSET
1,2
COMMENTS
A polyomino is called n-indecomposable if it cannot be partitioned (along cell boundaries) into two or more polyominoes each with at least n cells.
MacKinnon incorrectly gives a(3) = 42.
For full lists of drawings of these polyominoes for n <= 6, see the links in A125759.
LINKS
N. MacKinnon, Some thoughts on polyomino tilings, Math. Gaz., 74 (1990), 31-33.
Simone Rinaldi and D. G. Rogers, Indecomposability: polyominoes and polyomino tilings, The Mathematical Gazette 92.524 (2008): 193-204.
EXAMPLE
The five 2-indecomposable polyominoes:
...................X.
XX..XXX..XX..XXX..XXX
..........X...X....X.
CROSSREFS
Row sums of A125753. Cf. A125759, A125761, A126742, A126743.
Sequence in context: A185136 A014374 A185336 * A363314 A203112 A349099
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Feb 01 2007
EXTENSIONS
a(4) and a(5) from Peter Pleasants, Feb 13 2007
a(6) and a(7) from David Applegate, Feb 16 2007
STATUS
approved