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A229934 T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

%I A229934 #6 Apr 30 2022 20:44:29
%S A229934 0,3,3,3,19,3,9,115,115,9,15,739,1889,739,15,33,4679,33119,33119,4679,
%T A229934 33,63,29569,575757,1622763,575757,29569,63,129,187211,10015447,
%U A229934 78416265,78416265,10015447,187211,129,255,1185283,174306687,3788842363
%N A229934 T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).
%C A229934 Table starts
%C A229934 ...0.......3..........3.............9................15...................33
%C A229934 ...3......19........115...........739..............4679................29569
%C A229934 ...3.....115.......1889.........33119............575757.............10015447
%C A229934 ...9.....739......33119.......1622763..........78416265...........3788842363
%C A229934 ..15....4679.....575757......78416265.......10521395805........1411363459757
%C A229934 ..33...29569...10015447....3788842363.....1411363459757......525542853634783
%C A229934 ..63..187211..174306687..183213209145...189537122520529...195955071996200947
%C A229934 .129.1185283.3033162257.8859387292449.25452175156264451.73057913024557581941
%H A229934 R. H. Hardin, <a href="/A229934/b229934.txt">Table of n, a(n) for n = 1..144</a>
%F A229934 Empirical for column k:
%F A229934 k=1: a(n) = a(n-1) +2*a(n-2);
%F A229934 k=2: [order 13];
%F A229934 k=3: [order 49] for n>50.
%e A229934 Some solutions for n=3, k=4
%e A229934 ..0..2..2..0....2..2..0..2....2..0..0..0....2..0..2..1....0..2..1..1
%e A229934 ..2..0..0..2....0..0..0..1....2..2..2..0....2..1..1..1....2..1..0..2
%e A229934 ..0..1..1..1....2..0..1..1....0..2..2..0....0..2..2..0....1..0..2..0
%Y A229934 Column 1 is A062510(n-1).
%K A229934 nonn,tabl
%O A229934 1,2
%A A229934 _R. H. Hardin_, Oct 04 2013