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Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 30 2018 12:54:25

%S 16,512,13616,368144,9989376,270990144,7350348800,199375282176,

%T 5407964088576,146688598302720,3978862338503680,107924853732951040,

%U 2927413180587028480,79404767608300756992,2153818654894959054848

%N Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302010.

%H R. H. Hardin, <a href="/A302012/b302012.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +100*a(n-2) -348*a(n-3) -1856*a(n-4) +1536*a(n-5) +14848*a(n-6) +2048*a(n-7) -65024*a(n-8) -40960*a(n-9) +139264*a(n-10) +102400*a(n-11) -147456*a(n-12) for n>15

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302010.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2018