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Number of n X 6 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
2

%I #6 Oct 19 2021 11:45:47

%S 32,1012,6133,69614,1223912,17105490,231836591,3441737079,50285500321,

%T 722275707968,10492687518333,152687643030202,2214228241039922,

%U 32135750789927063,466755532831910501,6776357143500164511

%N Number of n X 6 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299675.

%H R. H. Hardin, <a href="/A299673/b299673.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299675.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 16 2018