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%I #11 Sep 05 2021 19:18:06
%S 1,1,1,2,3,4,6,9,13,37,64,95,188,326,513,875,1449,2302,4289,7422,
%T 12072,21561,37559,62571,107806,184027,306628,532661,915705,1537768,
%U 2654311,4574383,7752577,13292546,22778306,38625110,66213867,113475693,192821642,330086669
%N Number of tilings of a 9 X n rectangle using integer-sided rectangular tiles of area 9.
%H Alois P. Heinz, <a href="/A220126/b220126.txt">Table of n, a(n) for n = 0..1000</a>
%e a(5) = 4, because there are 4 tilings of a 9 X 5 rectangle using integer-sided rectangular tiles of area 9:
%e ._._._._._. ._____._._. ._._____._. ._._._____.
%e | | | | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | | | | |
%e | | | | | | |_____| | | | |_____| | | | |_____|
%e | | | | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | | | | |
%e | | | | | | |_____| | | | |_____| | | | |_____|
%e | | | | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | | | | |
%e |_|_|_|_|_| |_____|_|_| |_|_____|_| |_|_|_____|
%Y Column k=9 of A220122.
%K nonn
%O 0,4
%A _Alois P. Heinz_, Dec 06 2012