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A217964 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..2 nXk array.

%I A217964 #6 Jul 22 2025 23:44:43
%S A217964 3,3,9,9,17,27,17,91,77,81,37,321,835,343,243,77,1341,5415,7765,1523,
%T A217964 729,163,5269,45043,93765,72257,6761,2187,343,21379,336927,1483419,
%U A217964 1602741,672627,30013,6561,723,85633,2675127,21409033,48942485,27317977,6261827
%N A217964 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..2 nXk array.
%C A217964 Table starts
%C A217964 .....3.......3..........9............17...............37..................77
%C A217964 .....9......17.........91...........321.............1341................5269
%C A217964 ....27......77........835..........5415............45043..............336927
%C A217964 ....81.....343.......7765.........93765..........1483419............21409033
%C A217964 ...243....1523......72257.......1602741.........48942485..........1368783313
%C A217964 ...729....6761.....672627......27317977.......1616011915.........87208470529
%C A217964 ..2187...30013....6261827.....465184959......53384245121.......5551631519475
%C A217964 ..6561..133231...58295677....7919256577....1763824455789.....353274013599547
%C A217964 .19683..591427..542717361..134805742899...58280433586547...22477653727743707
%C A217964 .59049.2625409.5052561371.2294680520773.1925743948194651.1430126177007282011
%H A217964 R. H. Hardin, <a href="/A217964/b217964.txt">Table of n, a(n) for n = 1..160</a>
%e A217964 Some solutions for n=3 k=4
%e A217964 ..1..0..0..0....0..0..2..1....0..0..0..0....1..1..0..0....1..1..0..2
%e A217964 ..1..0..1..1....1..1..1..1....1..1..0..2....2..1..0..0....0..0..0..2
%e A217964 ..2..2..1..1....1..1..0..0....0..0..0..0....2..1..0..1....0..0..2..2
%Y A217964 Row 1 is A217450
%K A217964 nonn,tabl
%O A217964 1,1
%A A217964 _R. H. Hardin_ Oct 16 2012