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A316178 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,30,134,601,2665,11915,53134,237241,1058821,4726432,21096932,

%T 94170565,420346821,1876297370,8375198688,37384256688,166871556228,

%U 744862153097,3324830353450,14840996988230,66245542638609,295699266565050

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316183.

%H R. H. Hardin, <a href="/A316178/b316178.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +8*a(n-2) -4*a(n-3) -11*a(n-4) -a(n-5) -13*a(n-7) +2*a(n-8) -a(n-9) -a(n-10) -a(n-11) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316183.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 25 2018

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Last modified October 25 11:29 EDT 2021. Contains 348251 sequences. (Running on oeis4.)