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%I #4 Jan 07 2018 16:28:31
%S 4,13,20,26,41,67,99,156,255,406,654,1075,1765,2903,4816,8015,13356,
%T 22334,37441,62847,105663,177912,299855,505826,853990,1442723,2438617,
%U 4123939,6976756,11806935,19986864,33842134,57313801,97081475,164466875
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C Column 3 of A297889.
%H R. H. Hardin, <a href="/A297884/b297884.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) -6*a(n-4) +2*a(n-5) +5*a(n-7) -a(n-8) -2*a(n-10) for n>11
%e Some solutions for n=7
%e ..0..0..1. .0..0..0. .0..1..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0
%e ..1..1..0. .1..1..1. .1..0..1. .1..0..1. .1..1..0. .0..1..0. .1..0..1
%e ..0..1..1. .0..0..0. .0..1..0. .0..0..1. .1..0..1. .0..0..0. .1..0..0
%e ..1..0..0. .1..1..1. .0..1..1. .0..0..1. .1..1..0. .1..1..1. .1..0..0
%e ..0..0..1. .0..0..0. .0..1..1. .1..0..1. .0..0..1. .1..0..1. .1..0..1
%e ..1..1..0. .1..1..1. .0..1..0. .0..1..0. .1..0..0. .1..1..1. .0..1..0
%e ..1..0..1. .0..0..0. .1..1..0. .0..1..1. .0..1..1. .0..0..0. .1..0..1
%Y Cf. A297889.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 07 2018
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