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%I #4 Jun 10 2018 09:35:26
%S 1,2,2,4,8,4,8,30,30,8,16,112,141,112,16,32,420,684,684,420,32,64,
%T 1576,3282,4893,3282,1576,64,128,5912,15874,34001,34001,15874,5912,
%U 128,256,22176,76613,240701,332676,240701,76613,22176,256,512,83184,370087
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 7 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.....141......684.......3282........15874.........76613
%C ...8...112.....684.....4893......34001.......240701.......1696681
%C ..16...420....3282....34001.....332676......3343997......33584061
%C ..32..1576...15874...240701....3343997.....47791549.....686168124
%C ..64..5912...76613..1696681...33584061....686168124...14187207394
%C .128.22176..370087.11974403..336821283...9812796379..291309897184
%C .256.83184.1787161.84503446.3382396016.140721354959.6009246932279
%H R. H. Hardin, <a href="/A305769/b305769.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]
%F k=4: [order 35] for n>37
%e Some solutions for n=5 k=4
%e ..0..0..0..1. .0..1..1..0. .0..0..1..0. .0..0..0..1. .0..0..0..0
%e ..1..0..0..0. .0..1..0..1. .0..1..0..0. .0..0..0..1. .1..0..0..0
%e ..1..1..1..0. .0..1..1..1. .0..0..0..0. .0..1..0..1. .1..1..1..0
%e ..1..1..1..1. .0..1..1..1. .0..0..0..0. .1..0..0..1. .0..1..1..1
%e ..0..0..0..0. .0..1..1..0. .1..0..0..1. .1..0..0..1. .0..1..1..0
%Y Column 1 is A000079(n-1).
%Y Column 2 is A281949.
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Jun 10 2018
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