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A291807 The number of symmetric polyomino tilings of n X n square. 4
1, 5, 67, 3000 (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, considering tilings that have at least one symmetry. As for "free" polyominoes, tilings that are reflections or rotations of each other are not considered distinct.

LINKS

Table of n, a(n) for n=1..4.

John Mason, Example symmetric tilings

CROSSREFS

Cf. A268416 (polyominoes that will fit in n-sided square), A291806 (polyomino tilings of square), A291808 (tilings with distinct polyominoes), A291809 (tilings with differently sized polyominoes).

Sequence in context: A293849 A244589 A113064 * A197776 A197606 A207979

Adjacent sequences:  A291804 A291805 A291806 * A291808 A291809 A291810

KEYWORD

nonn,more

AUTHOR

John Mason, Sep 01 2017

STATUS

approved

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Last modified January 26 09:00 EST 2022. Contains 350581 sequences. (Running on oeis4.)