A240121 - OEIS

A240121

Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has two reflective symmetries in axes parallel to the sides, and no other reflective symmetries.

%I #12 Apr 16 2014 18:32:15

%S 0,0,0,1,0,13,5,183,75,4408,1501,180324

%N Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has two reflective symmetries in axes parallel to the sides, and no other reflective symmetries.

%C The two reflective symmetries imply 180-degree (but not 90-degree) rotational symmetry.

%H Ed Wynn, <a href="http://arxiv.org/abs/1308.5420">Exhaustive generation of Mrs Perkins's quilt square dissections for low orders</a>, arXiv:1308.5420

%e This dissection is the only example for n=4:

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%Y Cf. A226979, A045846, A224239, A240120, A240122.

%K nonn,more

%O 1,6

%A _Ed Wynn_, Apr 01 2014