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%I #8 Nov 20 2014 19:29:08
%S 6396,85950,85950,1119798,2594364,1119798,14499921,73704654,73704654,
%T 14499921,189215295,1983108841,4397457795,1983108841,189215295,
%U 2464134402,56342354623,247063804348,247063804348,56342354623,2464134402
%N T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with each 3 X 3 subblock having a positive determinant.
%C Table starts:
%C .........6396..........85950.........1119798.........14499921........189215295
%C ........85950........2594364........73704654.......1983108841......56342354623
%C ......1119798.......73704654......4397457795.....247063804348...14979356975339
%C .....14499921.....1983108841....247063804348...29265455672501.3645051233578966
%C ....189215295....56342354623..14979356975339.3645051233578966
%C ...2464134402..1583479136326.883392377522107
%C ..32080884108.43674791825894
%C .417846175365
%H R. H. Hardin, <a href="/A186068/b186068.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for 5 X 4:
%e ..1..0..1..0....1..0..1..0....1..0..1..0....0..0..2..0....0..0..2..0
%e ..2..0..0..2....2..0..0..1....1..0..0..2....1..0..0..1....1..0..0..1
%e ..0..2..0..0....1..2..0..0....0..1..0..0....2..1..0..0....0..1..0..0
%e ..0..1..2..0....2..0..2..1....2..1..2..1....0..1..2..0....0..1..2..0
%e ..2..0..2..2....2..0..0..2....2..2..1..2....1..0..0..1....1..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 11 2011