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A217457 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array.

%I A217457 #6 Jul 22 2025 23:40:18
%S A217457 3,3,3,9,15,9,17,69,69,17,37,253,613,253,37,77,1049,4361,4361,1049,77,
%T A217457 163,4205,35067,60821,35067,4205,163,343,16887,271863,939819,939819,
%U A217457 271863,16887,343,723,68015,2122623,14031423,28176327,14031423,2122623
%N A217457 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array.
%C A217457 Table starts
%C A217457 ....3........3...........9.............17..............37...............77
%C A217457 ....3.......15..........69............253............1049.............4205
%C A217457 ....9.......69.........613...........4361...........35067...........271863
%C A217457 ...17......253........4361..........60821..........939819.........14031423
%C A217457 ...37.....1049.......35067.........939819........28176327........816124375
%C A217457 ...77.....4205......271863.......14031423.......816124375......45755747495
%C A217457 ..163....16887.....2122623......211328743.....23851967507....2588934295383
%C A217457 ..343....68015....16577231.....3180307843....696290061931..146317423917255
%C A217457 ..723...273471...129398981....47838403809..20322202997527.8268318911401803
%C A217457 .1523..1100135..1010161409...719805267377.593290247614087
%C A217457 .3209..4425449..7886865189.10830069725301
%C A217457 .6761.17801365.61570433261
%H A217457 R. H. Hardin, <a href="/A217457/b217457.txt">Table of n, a(n) for n = 1..111</a>
%e A217457 Some solutions for n=3 k=4
%e A217457 ..0..0..0..0....0..0..0..1....1..1..1..1....2..1..0..0....1..0..0..0
%e A217457 ..0..2..0..2....1..0..1..1....1..2..2..1....1..1..1..0....0..0..0..0
%e A217457 ..2..0..0..0....2..1..1..2....1..1..1..1....2..1..2..2....0..0..2..0
%K A217457 nonn,tabl
%O A217457 1,1
%A A217457 _R. H. Hardin_ Oct 03 2012