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A187425 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.

%I A187425 #7 Jul 22 2025 10:44:13
%S A187425 0,175,175,609,1969,609,3593,6512,6512,3593,15055,44512,46764,44512,
%T A187425 15055,76263,319792,602024,602024,319792,76263,353985,2142214,5254072,
%U A187425 10014852,5254072,2142214,353985,1729733,13328138,56472058,139898890
%N A187425 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.
%C A187425 Table starts
%C A187425 ........0.......175........609........3593.......15055.......76263......353985
%C A187425 ......175......1969.......6512.......44512......319792.....2142214....13328138
%C A187425 ......609......6512......46764......602024.....5254072....56472058...533853394
%C A187425 .....3593.....44512.....602024....10014852...139898890..2183222530.33876667824
%C A187425 ....15055....319792....5254072...139898890..2868461180.72355701549
%C A187425 ....76263...2142214...56472058..2183222530.72355701549
%C A187425 ...353985..13328138..533853394.33876667824
%C A187425 ..1729733..88129302.5585054046
%C A187425 ..8225815.580578920
%C A187425 .39664199
%H A187425 R. H. Hardin, <a href="/A187425/b187425.txt">Table of n, a(n) for n = 1..59</a>
%e A187425 Some solutions for 4X3
%e A187425 ..0..2..2....1..1..0....1..2..2....2..2..0....0..1..1....0..0..0....2..1..1
%e A187425 ..2..2..0....1..2..1....1..1..2....2..2..0....0..1..2....0..0..1....0..0..0
%e A187425 ..0..1..1....0..1..1....1..0..2....1..2..1....0..0..1....2..2..2....2..2..2
%e A187425 ..0..2..2....0..2..2....0..0..0....1..2..1....0..0..2....2..1..0....2..1..0
%Y A187425 Column 1 is A186211
%K A187425 nonn,tabl
%O A187425 1,2
%A A187425 _R. H. Hardin_ Mar 09 2011