A299223 - OEIS

%I #4 Feb 05 2018 13:29:33

%S 1,17,113,628,3669,21792,128610,758715,4478515,26434415,156022822,

%T 920895737,5435426140,32081622538,189355989729,1117639651783,

%U 6596666844249,38935638345812,229810595428761,1356415664939788

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299228.

%H R. H. Hardin, <a href="/A299223/b299223.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +16*a(n-3) -7*a(n-4) -32*a(n-5) -25*a(n-6) -62*a(n-7) +44*a(n-8) -57*a(n-9) -12*a(n-10) -74*a(n-11) +46*a(n-12) -20*a(n-13) -16*a(n-14) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299228.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 05 2018