[seqfan] Simple sequence not in the OEIS?

[Lars Blomberg]

Hello Seqfans,

I have been looking at how many different space filling paths there are in a n x n lattice, starting from the SW corner in the N direction, and stepping in N,S,E,W directions only, counted up to rotations and reflections.

There are 3 solutions for n=3:
+--+--+    +--+--+    +--+  +
|     |    |     |    |  |  |
+  +  +    +  +--+    +  +  +
|  |  |    |  |       |  |  |
+  +--+    +  +--+    +  +--+

The sequence starts with n=2:  1, 3, 23, 347, 10199, 683227, ...

What puzzles me is that such a relatively simple sequence is not present in OEIS even though there are a great many sequences concerning paths on square lattices.

Maybe I have made some stupid mistake.
Any clarifying information will be appreciated.

/Lars B