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A317762 Number of nX6 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 32,89,100,127,177,266,425,709,1217,2126,3753,6666,11882,21223,37952,

%T 67914,121578,217696,389856,698220,1250549,2239862,4011891,7185904,

%U 12871122,23054360,41294363,73965487,132485357,237305006,425055936

%N Number of nX6 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A317764.

%H R. H. Hardin, <a href="/A317762/b317762.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) +a(n-7) for n>10

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317764.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2018

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Last modified January 25 18:07 EST 2022. Contains 350572 sequences. (Running on oeis4.)