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%I #4 Jan 12 2018 09:46:57
%S 0,2,1,3,7,20,42,121,291,782,1987,5247,13553,35592,92599,242445,
%T 632707,1654855,4323102,11303415,29540495,77227391,201859196,
%U 527690923,1379374791,3605831654,9425790420,24639842009,64410102689,168373214417
%N Number of nX4 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 4 of A298100.
%H R. H. Hardin, <a href="/A298096/b298096.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-2) +8*a(n-3) +2*a(n-4) -15*a(n-5) -23*a(n-6) -22*a(n-7) -9*a(n-8) +5*a(n-9) +20*a(n-10) +24*a(n-11) +23*a(n-12) +8*a(n-13) -3*a(n-14) -4*a(n-15) -2*a(n-16)
%e Some solutions for n=7
%e ..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1
%e ..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1
%e ..1..1..1..1. .0..0..1..1. .0..0..0..1. .1..1..0..0. .0..0..1..1
%e ..1..1..0..0. .0..1..1..1. .0..0..1..1. .1..1..0..0. .1..1..0..0
%e ..1..1..0..0. .1..0..0..0. .0..1..1..1. .0..0..1..1. .1..1..0..0
%e ..0..0..1..1. .1..1..0..0. .0..0..1..1. .0..0..1..1. .1..1..0..0
%e ..0..0..1..1. .1..1..0..0. .0..0..1..1. .0..0..1..1. .1..1..0..0
%Y Cf. A298100.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 12 2018
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