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A286979 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

%I A286979 #6 Apr 05 2020 21:09:20
%S A286979 0,0,0,0,0,0,0,5,5,0,0,30,50,30,0,1,126,538,538,126,1,3,520,3932,8270,
%T A286979 3932,520,3,10,2088,32253,123706,123706,32253,2088,10,24,8192,238532,
%U A286979 1853532,3584756,1853532,238532,8192,24,60,32083,1875212,27938670
%N A286979 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
%C A286979 Table starts
%C A286979 ..0.....0........0..........0.............0................1..................3
%C A286979 ..0.....0........5.........30...........126..............520...............2088
%C A286979 ..0.....5.......50........538..........3932............32253.............238532
%C A286979 ..0....30......538.......8270........123706..........1853532...........27938670
%C A286979 ..0...126.....3932.....123706.......3584756........108110791.........3229944132
%C A286979 ..1...520....32253....1853532.....108110791.......6394436704.......382399996325
%C A286979 ..3..2088...238532...27938670....3229944132.....382399996325.....45587718323826
%C A286979 .10..8192..1875212..424161696...98063836816...23061514189084...5491408595796062
%C A286979 .24.32083.14222474.6473516290.2979455186170.1399727072882973.665386690317576640
%H A286979 R. H. Hardin, <a href="/A286979/b286979.txt">Table of n, a(n) for n = 1..143</a>
%e A286979 Some solutions for n=4, k=4
%e A286979 ..0..1..1..1. .1..0..0..1. .0..0..0..0. .1..0..0..1. .0..1..1..1
%e A286979 ..0..0..0..1. .1..0..0..1. .0..1..1..0. .0..1..0..1. .0..0..1..0
%e A286979 ..1..0..0..0. .0..0..1..1. .0..1..1..0. .0..0..1..1. .0..1..0..1
%e A286979 ..1..0..0..0. .1..0..0..0. .1..0..0..1. .1..0..0..0. .0..1..0..0
%Y A286979 Column 1 is A286209.
%K A286979 nonn,tabl
%O A286979 1,8
%A A286979 _R. H. Hardin_, May 17 2017