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%I #4 Nov 01 2013 20:20:31
%S 6,16,16,76,34,76,314,724,724,314,1170,1994,8374,1994,1170,4584,28128,
%T 85196,85196,28128,4584,18208,76682,854206,606224,854206,76682,18208,
%U 71242,1144652,8838040,22328204,22328204,8838040,1144652,71242,278758
%N T(n,k)=Number of (n+3)X(k+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
%C Table starts
%C .....6......16........76.........314...........1170............4584
%C ....16......34.......724........1994..........28128...........76682
%C ....76.....724......8374.......85196.........854206.........8838040
%C ...314....1994.....85196......606224.......22328204.......161835904
%C ..1170...28128....854206....22328204......584293702.....15744800360
%C ..4584...76682...8838040...161835904....15744800360....295706164414
%C .18208.1144652..91616256..6209914254...421312592376..29418861515276
%C .71242.3107746.944382122.44707108238.11212196319546.546918612768188
%H R. H. Hardin, <a href="/A230949/b230949.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: a(n) = 3*a(n-1) +14*a(n-3) +a(n-4) -a(n-5)
%F k=2: [order 16]
%F k=3: [order 30]
%F k=4: [order 70]
%e Some solutions for n=2 k=4
%e ..0..x..3..x..3..x..3....0..x..2..x..1..x..1....0..x..0..x..3..x..1
%e ..x..1..x..0..x..0..x....x..1..x..3..x..2..x....x..1..x..0..x..2..x
%e ..2..x..2..x..1..x..3....2..x..0..x..1..x..3....2..x..2..x..1..x..1
%e ..x..3..x..1..x..2..x....x..3..x..1..x..0..x....x..3..x..1..x..0..x
%e ..2..x..0..x..0..x..1....2..x..2..x..0..x..3....2..x..0..x..3..x..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 01 2013