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A203542 T(n,k)=Number of nXk 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

%I A203542 #7 Jun 02 2025 07:36:35
%S A203542 0,0,0,0,4,0,0,4,4,0,0,16,72,16,0,0,64,144,144,64,0,0,196,1840,3364,
%T A203542 1840,196,0,0,676,10404,30976,30976,10404,676,0,0,2304,69920,614656,
%U A203542 1700580,614656,69920,2304,0,0,7744,490000,8479744,46485124,46485124,8479744
%N A203542 T(n,k)=Number of nXk 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.
%C A203542 Table starts
%C A203542 .0....0......0.........0...........0..............0................0
%C A203542 .0....4......4........16..........64............196..............676
%C A203542 .0....4.....72.......144........1840..........10404............69920
%C A203542 .0...16....144......3364.......30976.........614656..........8479744
%C A203542 .0...64...1840.....30976.....1700580.......46485124.......1680210240
%C A203542 .0..196..10404....614656....46485124.....3743237124.....257720706244
%C A203542 .0..676..69920...8479744..1680210240...257720706244...44312000955508
%C A203542 .0.2304.490000.129504400.56191754304.20056281523776.7260263864381124
%H A203542 R. H. Hardin, <a href="/A203542/b203542.txt">Table of n, a(n) for n = 1..161</a>
%e A203542 Some solutions for n=5 k=3
%e A203542 ..0..1..0....1..0..2....2..0..0....0..1..0....1..1..2....1..1..1....1..0..1
%e A203542 ..0..1..0....1..0..1....1..1..1....0..1..0....0..0..0....0..0..0....1..0..1
%e A203542 ..1..2..0....1..0..1....0..0..1....2..2..1....1..2..1....1..2..2....1..1..2
%e A203542 ..1..2..1....0..0..0....0..2..0....1..0..1....1..0..1....1..0..1....0..1..0
%e A203542 ..0..0..1....2..1..1....1..1..0....1..0..1....2..0..1....2..0..1....0..1..0
%K A203542 nonn,tabl
%O A203542 1,5
%A A203542 _R. H. Hardin_ Jan 02 2012