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A278208 T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.

%I A278208 #4 Nov 15 2016 12:26:34
%S A278208 0,0,0,0,3,0,0,15,15,0,0,46,97,46,0,0,161,666,666,161,0,0,601,4827,
%T A278208 8242,4827,601,0,0,2208,34869,117088,117088,34869,2208,0,0,8053,
%U A278208 251260,1674402,3295771,1674402,251260,8053,0,0,29415,1811189,23732454,93838003
%N A278208 T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.
%C A278208 Table starts
%C A278208 .0.....0........0..........0.............0...............0..................0
%C A278208 .0.....3.......15.........46...........161.............601...............2208
%C A278208 .0....15.......97........666..........4827...........34869.............251260
%C A278208 .0....46......666.......8242........117088.........1674402...........23732454
%C A278208 .0...161.....4827.....117088.......3295771........93838003.........2644587148
%C A278208 .0...601....34869....1674402......93838003......5306819216.......297169006604
%C A278208 .0..2208...251260...23732454....2644587148....297169006604.....33056811286568
%C A278208 .0..8053..1811189..336380248...74502577363..16636687338399...3676498268449668
%C A278208 .0.29415.13056663.4770344900.2100207846025.931945034345185.409137247202506544
%H A278208 R. H. Hardin, <a href="/A278208/b278208.txt">Table of n, a(n) for n = 1..264</a>
%F A278208 Empirical for column k:
%F A278208 k=2: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4) for n>5
%F A278208 k=3: [order 8] for n>9
%F A278208 k=4: [order 19]
%F A278208 k=5: [order 48] for n>49
%e A278208 Some solutions for n=4 k=4
%e A278208 ..0..1..1..1. .0..0..1..1. .0..0..1..1. .0..1..1..0. .0..1..0..1
%e A278208 ..0..0..0..0. .0..1..0..1. .1..0..0..1. .1..0..0..0. .0..0..1..1
%e A278208 ..1..0..1..0. .0..1..0..1. .1..0..1..1. .0..0..1..1. .0..1..0..0
%e A278208 ..1..1..1..1. .1..1..0..0. .0..1..0..1. .0..1..0..0. .0..0..1..0
%Y A278208 Column 2 is A232077(n-1).
%K A278208 nonn,tabl
%O A278208 1,5
%A A278208 _R. H. Hardin_, Nov 15 2016