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A220125 Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of area 8.

%I A220125 #12 Sep 05 2021 18:19:55
%S A220125 1,1,2,3,9,16,35,65,250,495,1209,2412,6510,13707,32467,68285,176843,
%T A220125 387518,926118,2022259,4928293,11009067,25938745,57797488,137808762,
%U A220125 311753120,730878789,1651849769,3880235364,8842052707,20602970440,46930887843,109406749213
%N A220125 Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of area 8.
%H A220125 Alois P. Heinz, <a href="/A220125/b220125.txt">Table of n, a(n) for n = 0..1000</a>
%e A220125 a(3) = 3, because there are 3 tilings of an 8 X 3 rectangle using integer-sided rectangular tiles of area 8:
%e A220125 ._._._.   .___._.   ._.___.
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%e A220125 | | | |   |___| |   | |___|
%e A220125 | | | |   |   | |   | |   |
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%e A220125 | | | |   |   | |   | |   |
%e A220125 |_|_|_|   |___|_|   |_|___|
%Y A220125 Column k=8 of A220122.
%K A220125 nonn
%O A220125 0,3
%A A220125 _Alois P. Heinz_, Dec 06 2012