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%I #4 Feb 04 2018 13:01:45
%S 1,2,2,4,8,4,8,25,25,8,16,85,70,85,16,32,286,205,205,286,32,64,969,
%T 614,649,614,969,64,128,3281,1860,2153,2153,1860,3281,128,256,11114,
%U 5631,7016,8368,7016,5631,11114,256,512,37649,17034,22819,30089,30089,22819
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Table starts
%C ...1.....2.....4......8......16......32.......64.......128........256
%C ...2.....8....25.....85.....286.....969.....3281.....11114......37649
%C ...4....25....70....205.....614....1860.....5631.....17034......51507
%C ...8....85...205....649....2153....7016....22819.....73931.....239461
%C ..16...286...614...2153....8368...30089...105709....376826....1341575
%C ..32...969..1860...7016...30089..123258...488812...1973932....7998917
%C ..64..3281..5631..22819..105709..488812..2207509..10286880...48492179
%C .128.11114.17034..73931..376826.1973932.10286880..56481101..314537796
%C .256.37649.51507.239461.1341575.7998917.48492179.314537796.2090883077
%H R. H. Hardin, <a href="/A299180/b299180.txt">Table of n, a(n) for n = 1..264</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1)
%F k=2: a(n) = 3*a(n-1) +a(n-2) +2*a(n-3) -2*a(n-4) -4*a(n-5)
%F k=3: [order 11] for n>12
%F k=4: [order 22] for n>28
%e Some solutions for n=5 k=5
%e ..0..0..1..0..1. .0..1..1..0..1. .0..0..1..0..1. .0..1..1..0..0
%e ..1..0..0..1..0. .0..1..1..0..1. .1..1..1..1..0. .0..1..1..0..1
%e ..0..0..0..0..1. .1..1..1..1..1. .1..1..1..1..1. .1..1..1..1..1
%e ..1..0..0..0..0. .0..1..1..1..0. .0..0..1..1..0. .0..1..1..1..0
%e ..0..1..0..1..0. .1..1..0..1..1. .0..1..0..1..1. .1..1..0..1..1
%Y Column 1 is A000079(n-1).
%Y Column 2 is A281338.
%Y Column 3 is A298282.
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Feb 04 2018
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