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A317521 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 30 2018 11:37:31

%S 8,128,1921,28760,431529,6475106,97158833,1457871738,21875422403,

%T 328241570548,4925277664965,73903984966452,1108932199510127,

%U 16639571244859588,249677420617443179,3746419510986492706

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A317525.

%H R. H. Hardin, <a href="/A317521/b317521.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) +a(n-2) -8*a(n-3) -84*a(n-4) -63*a(n-5) +24*a(n-6) +20*a(n-7)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317525.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 30 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)