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Number of n X 6 0..1 arrays with every element equal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Mar 01 2023 14:13:10

%S 13,73,59,518,4320,18775,153289,1162345,7133776,54979586,402166114,

%T 2748707739,20339364130,147487006730,1043506098401,7599112187024,

%U 54923304977846,393412536966095,2847592555411713,20556758995325968

%N Number of n X 6 0..1 arrays with every element equal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A300030.

%H R. H. Hardin, <a href="/A300028/b300028.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300030.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2018