

A342907


a(n) is the number of tilings of the ordern Aztec Diamond by square tetrominoes and Zshaped tetrominoes, counting all rotations and reflections as distinct.


1



1, 4, 20, 304, 6784, 407684, 39072966, 9449433606, 3830070645700, 3762885306351756, 6402694828334379856, 25695884677997378383120
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OFFSET

1,2


COMMENTS

Computed by Don Reble, Mar 31 2021; a(8) from Mike Beeler, Mar 31 2021; a(9) from Walter Trump, Apr 01 2021
Motivated by a query from James Propp in the MathFun forum, Mar 28 2021.
An Aztec Diamond of order n is a set of squares whose centers are at distance n or closer to a vertex in the taxicab metric.
Tilings by dominoes are counted by A006125. (End)


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KEYWORD

nonn,more


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STATUS

approved



