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%I #4 Jul 18 2018 19:27:05
%S 1,2,2,4,8,4,8,30,30,8,16,112,162,112,16,32,420,894,894,420,32,64,
%T 1576,4905,7665,4905,1576,64,128,5912,26952,65047,65047,26952,5912,
%U 128,256,22176,148138,551591,854383,551591,148138,22176,256,512,83184,814090
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Table starts
%C ...1.....2.......4.........8..........16............32..............64
%C ...2.....8......30.......112.........420..........1576............5912
%C ...4....30.....162.......894........4905.........26952..........148138
%C ...8...112.....894......7665.......65047........551591.........4691054
%C ..16...420....4905.....65047......854383......11158663.......146589898
%C ..32..1576...26952....551591....11158663.....223714229......4522081307
%C ..64..5912..148138...4691054...146589898....4522081307....140997597309
%C .128.22176..814090..39872525..1924812465...91395911298...4396796733747
%C .256.83184.4474116.338839996.25259268302.1845641069555.136949793274310
%H R. H. Hardin, <a href="/A317004/b317004.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1)
%F k=2: a(n) = 4*a(n-1) -2*a(n-2) +4*a(n-3)
%F k=3: [order 11] for n>12
%F k=4: [order 38] for n>39
%e Some solutions for n=5 k=4
%e ..0..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..0..1. .0..1..0..1
%e ..0..0..0..0. .0..1..1..0. .1..0..0..0. .0..1..0..1. .1..0..1..1
%e ..0..1..0..0. .1..1..1..0. .0..0..0..0. .1..1..1..0. .0..1..0..1
%e ..0..1..1..0. .1..1..1..1. .1..0..0..0. .1..1..1..0. .1..1..1..0
%e ..1..1..1..1. .0..0..1..1. .1..1..1..0. .1..0..0..1. .0..0..1..1
%Y Column 1 is A000079(n-1).
%Y Column 2 is A281949.
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Jul 18 2018
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