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A305512 Number of nX4 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 03 2018 13:17:48

%S 2,1,6,10,13,38,73,164,351,749,1719,3710,8182,18453,40666,90453,

%T 201921,448575,999776,2226884,4957665,11048840,24608791,54816139,

%U 122135777,272069268,606114434,1350348321,3008242832,6701882069,14930628603

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

%C Column 4 of A305516.

%H R. H. Hardin, <a href="/A305512/b305512.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) -8*a(n-6) -8*a(n-7) -10*a(n-9) -a(n-10) +a(n-11) -2*a(n-12) -2*a(n-14) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305516.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 03 2018

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)