A282858 - OEIS

%I #4 Feb 23 2017 08:06:27

%S 13,89,583,4163,28537,197892,1369929,9480913,65635874,454328733,

%T 3144977815,21770168425,150697387128,1043158090187,7220949660280,

%U 49984870462950,346005348887302,2395118766058622,16579494922049801

%N Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors.

%C Column 4 of A282862.

%H R. H. Hardin, <a href="/A282858/b282858.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +24*a(n-2) +86*a(n-3) +170*a(n-4) +283*a(n-5) +346*a(n-6) +277*a(n-7) +180*a(n-8) +108*a(n-9) -251*a(n-10) +433*a(n-11) -547*a(n-12) +330*a(n-13) -46*a(n-14) -68*a(n-15) +25*a(n-16) -14*a(n-17) +11*a(n-18) -3*a(n-19) -2*a(n-20) +a(n-21)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282862.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2017