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Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 10 2018 15:05:12

%S 32,13,42,125,359,2081,9442,38020,174483,785604,3427907,15257880,

%T 67982637,300964560,1335669886,5933105093,26325240756,116828769988,

%U 518611346889,2301753155715,10215798261389,45343030343793

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A316693.

%H R. H. Hardin, <a href="/A316691/b316691.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) +33*a(n-3) -9*a(n-4) -53*a(n-5) -229*a(n-6) +42*a(n-7) +42*a(n-8) +386*a(n-9) -47*a(n-10) -52*a(n-11) -288*a(n-12) +62*a(n-13) +216*a(n-15) +84*a(n-16) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316693.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2018