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A305478 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 02 2018 08:51:53

%S 5,17,21,48,98,192,368,732,1480,2932,5776,11486,22896,45464,90186,

%T 179214,356304,707856,1405988,2793618,5551294,11029574,21913242,

%U 43539452,86510224,171885810,341514604,678553342,1348218756,2678763818,5322403858

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

%C Column 4 of A305482.

%H R. H. Hardin, <a href="/A305478/b305478.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-3) +a(n-5) -7*a(n-6) -7*a(n-7) -2*a(n-8) +2*a(n-9) +2*a(n-10) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305482.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)