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Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.
1

%I #4 Nov 15 2016 12:23:30

%S 0,46,666,8242,117088,1674402,23732454,336380248,4770344900,

%T 67648850802,959306211222,13603641359640,192909619956550,

%U 2735599405114814,38792794983910750,550110139019848618,7800963216380203384

%N Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.

%C Column 4 of A278208.

%H R. H. Hardin, <a href="/A278204/b278204.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +46*a(n-2) +157*a(n-3) +471*a(n-4) -202*a(n-5) -2198*a(n-6) -1400*a(n-7) -941*a(n-8) -1959*a(n-9) +2763*a(n-10) +374*a(n-11) -387*a(n-12) +3427*a(n-13) -1743*a(n-14) -335*a(n-15) +862*a(n-16) -1124*a(n-17) +584*a(n-18) -96*a(n-19)

%e Some solutions for n=4

%e ..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..1..1. .0..1..0..0

%e ..0..1..0..0. .1..0..0..1. .1..0..1..1. .0..1..1..0. .0..0..1..1

%e ..1..1..1..0. .1..0..1..0. .1..1..1..0. .0..1..0..1. .1..0..1..0

%e ..0..0..0..0. .0..1..1..1. .1..0..0..0. .0..1..0..1. .1..0..0..0

%Y Cf. A278208.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 15 2016