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A317431 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 1,16,61,201,863,3666,14831,61638,255772,1057307,4380003,18147665,

%T 75156794,311315739,1289593418,5341744958,22126877953,91655931185,

%U 379663396847,1572669053056,6514430280073,26984558653702,111777454797820

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317436.

%H R. H. Hardin, <a href="/A317431/b317431.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +5*a(n-2) +10*a(n-3) -29*a(n-4) -69*a(n-5) -36*a(n-6) +68*a(n-7) +201*a(n-8) +115*a(n-9) +35*a(n-10) -218*a(n-11) -192*a(n-12) -83*a(n-13) +2*a(n-14) +113*a(n-15) +61*a(n-16) +18*a(n-17) +4*a(n-18) -10*a(n-19) -4*a(n-20) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317436.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 27 2018

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Last modified August 17 00:01 EDT 2022. Contains 356180 sequences. (Running on oeis4.)