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A199246 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or two horizontal or vertical neighbors.

%I A199246 #7 Jul 22 2025 13:15:56
%S A199246 1,1,1,1,2,1,3,2,2,3,6,12,6,12,6,5,36,25,25,36,5,19,39,110,440,110,39,
%T A199246 19,37,288,472,2907,2907,472,288,37,29,836,2080,7100,29227,7100,2080,
%U A199246 836,29,124,888,9279,134821,106134,106134,134821,9279,888,124,240,7380,41704
%N A199246 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or two horizontal or vertical neighbors.
%C A199246 Table starts
%C A199246 ...1....1......1........3..........6..........5..........19..........37
%C A199246 ...1....2......2.......12.........36.........39.........288.........836
%C A199246 ...1....2......6.......25........110........472........2080........9279
%C A199246 ...3...12.....25......440.......2907.......7100......134821......934004
%C A199246 ...6...36....110.....2907......29227.....106134.....3190670....34188947
%C A199246 ...5...39....472.....7100.....106134....1682457....27337776...454364514
%C A199246 ..19..288...2080...134821....3190670...27337776..2013526831.52332203186
%C A199246 ..37..836...9279...934004...34188947..454364514.52332203186
%C A199246 ..29..888..41704..2277108..128653588.7678775057
%C A199246 .124.7380.187500.46296108.4104988637
%H A199246 R. H. Hardin, <a href="/A199246/b199246.txt">Table of n, a(n) for n = 1..111</a>
%e A199246 Some solutions for n=6 k=4
%e A199246 ..0..1..2..1....0..1..0..1....0..1..2..0....0..1..0..2....0..1..2..0
%e A199246 ..1..0..1..0....2..0..1..2....1..2..0..2....1..0..2..1....1..0..0..1
%e A199246 ..0..1..0..2....0..1..2..1....0..1..2..1....0..2..1..2....2..0..0..2
%e A199246 ..2..0..2..0....2..2..1..0....1..0..1..2....1..0..2..1....0..2..1..0
%e A199246 ..1..2..1..2....2..2..0..1....0..2..0..1....0..2..0..2....1..1..2..2
%e A199246 ..2..0..2..1....0..1..2..0....2..1..2..0....1..0..2..1....1..1..2..2
%Y A199246 Column 1 is A199126
%K A199246 nonn,tabl
%O A199246 1,5
%A A199246 _R. H. Hardin_ Nov 04 2011