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%I #4 Jan 30 2018 13:13:15
%S 0,5,5,34,91,360,1144,4062,13794,47972,164529,567553,1953217,6732815,
%T 23189914,79894441,275211747,948122291,3266225384,11252104514,
%U 38762888085,133536840437,460029356546,1584785398981,5459526766694
%N Number of nX6 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 6 of A298963.
%H R. H. Hardin, <a href="/A298961/b298961.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) -3*a(n-3) +14*a(n-4) -44*a(n-5) -22*a(n-6) -27*a(n-7) +33*a(n-8) +210*a(n-9) +164*a(n-10) +294*a(n-11) -198*a(n-12) -391*a(n-13) -686*a(n-14) -638*a(n-15) +36*a(n-16) +450*a(n-17) +656*a(n-18) +232*a(n-19) +286*a(n-20) -8*a(n-21) +96*a(n-22) -142*a(n-23) +20*a(n-24) -196*a(n-25) -32*a(n-26) +16*a(n-27) +24*a(n-28) -32*a(n-29) +16*a(n-30)
%e Some solutions for n=5
%e ..0..0..0..1..1..1. .0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..0..0..0..0
%e ..0..0..0..1..1..1. .0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..0..0..0..0
%e ..1..1..1..1..1..1. .0..0..0..0..0..0. .0..0..1..1..1..1. .0..0..0..0..0..0
%e ..1..1..1..1..1..1. .1..1..1..0..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
%e ..1..1..1..1..1..1. .1..1..1..0..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
%Y Cf. A298963.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 30 2018
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