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Number of tilings of an n X n square using integer-sided rectangular tiles of equal area.
4

%I #16 Sep 06 2021 00:27:49

%S 1,1,4,4,49,4,7104,4,13036591,37201,258619377111,4,53060638473837524,

%T 4,112202211800073777695003,67433402020431

%N Number of tilings of an n X n square using integer-sided rectangular tiles of equal area.

%C a(p) = 4 for prime p.

%e a(3) = 4:

%e ._____. ._____. ._____. ._____.

%e | | | | | | |_____| |_|_|_|

%e | | | | | | |_____| |_|_|_|

%e |_____| |_|_|_| |_____| |_|_|_|

%Y Main diagonal of A220777.

%K nonn,more

%O 0,3

%A _Alois P. Heinz_, Dec 19 2012