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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock singular
10

%I #5 Mar 31 2012 12:36:01

%S 64,424,424,2248,8272,2248,13096,108496,108496,13096,73288,1792144,

%T 1967440,1792144,73288,417256,27993232,62051344,62051344,27993232,

%U 417256,2358280,454774672,1444491280,4975179472,1444491280,454774672,2358280

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock singular

%C Table starts

%C ........64............424..............2248.................13096

%C .......424...........8272............108496...............1792144

%C ......2248.........108496...........1967440..............62051344

%C .....13096........1792144..........62051344............4975179472

%C .....73288.......27993232........1444491280..........267277851856

%C ....417256......454774672.......39939558160........18492329456080

%C ...2358280.....7339536784.....1005763454224......1156853256240592

%C ..13370536...119205236368....26695990774288.....77441892454241488

%C ..75704776..1934859805840...688562611427344...5064538742140130512

%C .428889448.31437977902480.18047210235975952.336992694113719404496

%H R. H. Hardin, <a href="/A184773/b184773.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for 4X3

%e ..1..0..3....2..0..3....2..2..0....1..2..2....0..0..1....2..2..1....2..1..1

%e ..3..0..3....2..0..1....0..0..0....0..0..0....3..0..3....0..0..0....2..1..1

%e ..2..0..2....0..0..3....3..0..0....3..0..1....3..0..2....2..0..1....0..0..0

%e ..2..0..1....1..0..1....1..0..1....2..0..0....2..0..3....3..0..3....2..3..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 21 2011