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A240123 Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has a reflective symmetry in one diagonal, but no other symmetries. 3

%I #13 Apr 05 2014 22:25:33

%S 0,0,1,3,19,107,847,8647,119835,2255123,58125783,2050662011

%N Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has a reflective symmetry in one diagonal, but no other symmetries.

%C 'Inequivalent' has the same sense as in A224239: we do not regard dissections that differ by a rotation and/or reflection as distinct.

%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 The three dissections for n=4:

%e --------- --------- ---------

%e | | | | | | | | | |

%e | ----- | | | | ---

%e | | | | | | | | | |

%e --------- --------- | ---

%e | | | | | | | | | | | |

%e --------- | ----- ---------

%e | | | | | | | | | | | | | |

%e --------- --------- ---------

%Y Cf. A226980, A045846, A224239, A240124, A240125.

%K nonn,more

%O 1,4

%A _Ed Wynn_, Apr 01 2014

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)