A296799 - OEIS

%I #4 Dec 20 2017 21:56:38

%S 3,15,47,164,694,2605,10149,40768,159911,632786,2515824,9955497,

%T 39474474,156620340,620862380,2462240910,9765571527,38725242932,

%U 153578388401,609071232426,2415424423665,9579148427643,37989184815705,150657535938632

%N Number of nX3 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.

%C Column 3 of A296804.

%H R. H. Hardin, <a href="/A296799/b296799.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +7*a(n-2) +26*a(n-3) +a(n-4) -69*a(n-5) -154*a(n-6) -144*a(n-7) +16*a(n-8) +166*a(n-9) +183*a(n-10) +6*a(n-11) -14*a(n-12) -73*a(n-13) +16*a(n-14) -a(n-15) +2*a(n-16)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A296804.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2017