A296969 - OEIS

%I #4 Dec 22 2017 12:52:35

%S 1,11,31,78,295,959,2958,9835,32104,103383,337755,1101269,3580082,

%T 11672828,38060520,124033054,404479836,1319253933,4302723870,

%U 14036075984,45792455693,149403264722,487484967393,1590699368682,5190766183630

%N Number of nX3 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s.

%C Column 3 of A296974.

%H R. H. Hardin, <a href="/A296969/b296969.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -5*a(n-2) +11*a(n-3) -55*a(n-4) +27*a(n-5) -5*a(n-6) +152*a(n-7) +34*a(n-8) -124*a(n-9) -145*a(n-10) -142*a(n-11) +174*a(n-12) +36*a(n-13) -15*a(n-14) +25*a(n-15) +10*a(n-16) -2*a(n-17)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296974.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 22 2017