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%I #4 Nov 03 2013 06:03:13
%S 6,16,16,76,242,76,314,724,724,314,1170,10534,8374,10534,1170,4584,
%T 28128,85196,85196,28128,4584,18208,419878,854206,3160834,854206,
%U 419878,18208,71242,1144652,8838040,22328204,22328204,8838040,1144652,71242,278758
%N T(n,k)=Number of (n+3)X(k+3) 0..3 black 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......242.......724........10534..........28128...........419878
%C ....76......724......8374........85196.........854206..........8838040
%C ...314....10534.....85196......3160834.......22328204........859128648
%C ..1170....28128....854206.....22328204......584293702......15744800360
%C ..4584...419878...8838040....859128648....15744800360....1576885946694
%C .18208..1144652..91616256...6209914254...421312592376...29418861515276
%C .71242.16946918.944382122.235891268252.11212196319546.2914693904795344
%H R. H. Hardin, <a href="/A231023/b231023.txt">Table of n, a(n) for n = 1..143</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 ..x..0..x..3..x..3..x....x..0..x..0..x..0..x....x..0..x..2..x..2..x
%e ..1..x..3..x..0..x..0....3..x..1..x..3..x..1....0..x..1..x..3..x..1
%e ..x..2..x..3..x..1..x....x..0..x..2..x..2..x....x..1..x..0..x..2..x
%e ..3..x..1..x..0..x..2....3..x..3..x..1..x..1....2..x..0..x..3..x..1
%e ..x..0..x..3..x..3..x....x..2..x..0..x..0..x....x..3..x..2..x..2..x
%Y Column 1 is A230942
%Y Column 3 is A230944
%Y Column 5 is A230946
%Y Column 7 is A230948
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 03 2013
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