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A226980
Number of ways to cut an n X n square into squares with integer sides, reduced for symmetry, where the orbits under the symmetry group of the square, D4, have 4 elements.
8
0, 0, 1, 6, 26, 264, 1157, 23460, 153485, 6748424, 70521609, 6791578258
OFFSET
1,4
FORMULA
A226978(n) + A226979(n) + A226980(n) + A226981(n) = A224239(n).
1*A226978(n) + 2*A226979(n) + 4*A226980(n) + 8*A226981(n) = A045846(n).
A226980(n) = A240123(n) + A240124(n) + A240125(n).
EXAMPLE
For n=5, there are 26 dissections where the orbits under the symmetry group of the square, D4, have 4 elements.
The 6 dissections for n=4 can be seen in A240123 and A240125.
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
a(8)-a(12) from Ed Wynn, Apr 01 2014
STATUS
approved