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A283946 Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 1

%I

%S 0,16,906,16648,283208,4510608,68693470,1016922620,14739946302,

%T 210244817456,2961229080584,41284559423328,570755049480396,

%U 7835153742442852,106914860440688980,1451387421319840428

%N Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

%C Column 4 of A283950.

%H R. H. Hardin, <a href="/A283946/b283946.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) -79*a(n-2) -404*a(n-3) -1735*a(n-4) +5380*a(n-5) +19741*a(n-6) +34190*a(n-7) -114058*a(n-8) -262182*a(n-9) -147141*a(n-10) +773852*a(n-11) +1033244*a(n-12) -636288*a(n-13) -1952548*a(n-14) -773524*a(n-15) +3381918*a(n-16) +701852*a(n-17) -2086167*a(n-18) -1415394*a(n-19) +277411*a(n-20) +2329064*a(n-21) -1494802*a(n-22) +674022*a(n-23) -1245796*a(n-24) +983860*a(n-25) -532781*a(n-26) +405164*a(n-27) -201292*a(n-28) +71680*a(n-29) -28816*a(n-30) +7280*a(n-31) -1128*a(n-32) +96*a(n-33) -4*a(n-34)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283950.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 18 2017

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Last modified August 11 20:13 EDT 2022. Contains 356067 sequences. (Running on oeis4.)