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A291806 The number of polyomino tilings of n X n square. 8
1, 5, 216, 212987 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The sequence gives the number of distinct tilings by polyominoes of a square with side n. As for "free" polyominoes, tilings that are reflections or rotations of each other are not considered distinct.
Using the same terminology used for polyominoes: the corresponding sequence for "fixed" tilings is 1,12,1434,1691690, and for one-sided tilings is 1,5,222,213315.
LINKS
John Mason, Tiling examples
CROSSREFS
Cf. A268416 (polyominoes that will fit in n-sided square), A291807 (symmetric tilings), A291808 (tilings with distinct polyominoes), A291809 (tilings with differently sized polyominoes).
Sequence in context: A144796 A269823 A206457 * A119657 A235456 A159808
KEYWORD
nonn,more
AUTHOR
John Mason, Sep 01 2017
STATUS
approved

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Last modified April 17 17:01 EDT 2024. Contains 371765 sequences. (Running on oeis4.)