%I #11 Sep 05 2021 19:17:51
%S 1,1,2,4,7,13,46,88,209,473,1002,2120,5197,11085,25384,57234,126959,
%T 279883,640387,1412460,3182794,7138463,15963680,35593612,80143244,
%U 178644947,400681480,897313564,2008904252,4492651815,10074017008,22526314856,50459193392
%N Number of tilings of a 6 X n rectangle using integer-sided rectangular tiles of area 6.
%H Alois P. Heinz, <a href="/A220124/b220124.txt">Table of n, a(n) for n = 0..1000</a>
%e a(4) = 7, because there are 7 tilings of a 6 X 4 rectangle using integer-sided rectangular tiles of area 6:
%e ._._._._. ._._._._. ._._._._. ._._._._. ._._._._. ._._._._. ._._._._.
%e | | | | | | | | | | | | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | | | | | | | | | | | | |
%e | | | | | |___| | | | |___| | | | |___| |___|___| |_____| | | |_____|
%e | | | | | | | | | | | | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | | | | | | | | | | | | |
%e |_|_|_|_| |___|_|_| |_|___|_| |_|_|___| |___|___| |_____|_| |_|_____|
%Y Column k=6 of A220122.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Dec 05 2012