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Number of nX6 0..2 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j)
2

%I #4 Oct 27 2013 04:48:03

%S 0,33,177,2547,28161,337977,3951657,46564959,547445439,6440488155,

%T 75754392573,891094042215,10481688337035,123293830743177,

%U 1450276232412603,17059265522993919,200664184001736495

%N Number of nX6 0..2 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j)

%C Column 6 of A230652

%H R. H. Hardin, <a href="/A230650/b230650.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +50*a(n-2) -22*a(n-3) -437*a(n-4) -1133*a(n-5) -548*a(n-6) +2623*a(n-7) +5757*a(n-8) +6227*a(n-9) -194*a(n-10) -2664*a(n-11) -3827*a(n-12) +2327*a(n-13) -5991*a(n-14) -4452*a(n-15) -3865*a(n-16) -6535*a(n-17) -536*a(n-18) -639*a(n-19) -373*a(n-20) -29*a(n-21) +76*a(n-22) -16*a(n-23) for n>24

%e Some solutions for n=5

%e ..1..x..2..x..0..x....1..x..1..x..2..x....1..x..2..x..2..x....2..x..0..x..1..x

%e ..x..1..x..0..x..2....x..1..x..0..x..1....x..1..x..0..x..2....x..0..x..2..x..1

%e ..2..x..1..x..0..x....0..x..1..x..1..x....2..x..2..x..0..x....2..x..1..x..1..x

%e ..x..0..x..1..x..2....x..2..x..0..x..1....x..0..x..2..x..1....x..2..x..1..x..2

%e ..2..x..2..x..0..x....0..x..2..x..1..x....2..x..0..x..1..x....0..x..1..x..0..x

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 27 2013