A240125 Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has one reflective symmetry in an axis parallel to a side, but no other symmetries.

0, 0, 0, 3, 5, 138, 201, 13032, 19990, 4095612, 7026883, 4451051502

Offset

1,4

Links

Table of n, a(n) for n=1..12.

Ed Wynn, Exhaustive generation of Mrs Perkins's quilt square dissections for low orders, arXiv:1308.5420

Example

The three dissections for n=4, with the axis horizontal:
---------    ---------    ---------
|   | | |    |   | | |    | | | | |
|   -----    |   -----    ---------
|   | | |    |   |   |    |   | | |
---------    -----   |    |   -----
|   | | |    |   |   |    |   | | |
|   -----    |   -----    ---------
|   | | |    |   | | |    | | | | |
---------    ---------    ---------

Crossrefs

Cf. A226980, A045846, A224239, A240123, A240124.

Sequence in context: A164371 A225672 A355803 * A372746 A108013 A087307

Adjacent sequences: A240122 A240123 A240124 * A240126 A240127 A240128

Keyword

nonn,more

Author

Ed Wynn, Apr 01 2014

Status

approved