%I #5 Mar 31 2012 12:36:07
%S 0,171,171,405,1773,405,3249,19062,19062,3249,12609,182214,267840,
%T 182214,12609,72225,1853892,5755698,5755698,1853892,72225,332937,
%U 18740754,99203418,201302208,99203418,18740754,332937,1731321,189091422
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces
%C Table starts
%C ........0..........171.............405..............3249..............12609
%C ......171.........1773...........19062............182214............1853892
%C ......405........19062..........267840...........5755698...........99203418
%C .....3249.......182214.........5755698.........201302208.........7020258336
%C ....12609......1853892........99203418........7020258336.......440941355208
%C ....72225.....18740754......1921749372......245891941002.....29716252404984
%C ...332937....189091422.....34994620836.....8616423081600...1928394629936928
%C ..1731321...1908891288....658156407930...301728175130790.127632346709629266
%C ..8410473..19278208206..12168728064540.10570455159698376
%C .42400017.194645680218.227006548039242
%H R. H. Hardin, <a href="/A187140/b187140.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for 5X4
%e ..0..0..0..0....0..0..0..0....2..2..0..0....1..2..0..0....0..0..0..0
%e ..0..0..0..0....1..1..0..0....2..0..0..0....1..0..0..0....1..1..0..0
%e ..2..1..1..1....0..0..1..0....1..0..0..0....1..0..2..0....2..0..0..0
%e ..2..2..1..1....1..1..2..2....2..1..1..1....2..0..1..0....2..2..1..2
%e ..2..2..0..1....1..1..1..1....0..1..2..2....1..0..2..1....0..2..2..1
%Y Column 1 is A185837
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Mar 05 2011
|