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A216598
Number of distinct connected planar figures that can be formed from n 1 X 2 rectangles (or dominoes).
6
1, 2, 16, 164, 1866, 22518, 282184, 3630256, 47614214, 633835642, 8537220172
OFFSET
0,2
COMMENTS
"Connected" means "connected by edges".
Rotations and reflections are considered different (cf. A056786).
Internal arrangement of dominoes is significant (cf. A056785). - Aaron N. Siegel, May 22 2022
CROSSREFS
KEYWORD
nonn,more,nice,hard
AUTHOR
N. J. A. Sloane, Sep 09 2012
EXTENSIONS
a(4) found via equivalence class decomposition over bounding boxes by the Forest Grove Community School Math Club - Markus J. Q. Roberts, Apr 03 2013
a(5)-a(9) from Manfred Scheucher, Jun 06 2015
a(10) from Aaron N. Siegel, May 22 2022
STATUS
approved