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A232939 Number of nX6 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally 1

%I #4 Dec 02 2013 18:16:37

%S 96,258,2360,18850,157322,1294504,10700160,88318190,729295244,

%T 6021446660,49717871728,410507714440,3389459358490,27985921958788,

%U 231072754052826,1907910019604876,15753136243946376,130069709821883698

%N Number of nX6 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally

%C Column 6 of A232941

%H R. H. Hardin, <a href="/A232939/b232939.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +42*a(n-2) +147*a(n-3) +70*a(n-4) -478*a(n-5) -449*a(n-6) +1199*a(n-7) +732*a(n-8) -2727*a(n-9) +659*a(n-10) +3827*a(n-11) -5776*a(n-12) +3926*a(n-13) -1152*a(n-14) -148*a(n-15) +154*a(n-16) +32*a(n-17) -29*a(n-18) -6*a(n-19) +3*a(n-20) +a(n-21) for n>22

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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Last modified April 25 10:42 EDT 2024. Contains 371967 sequences. (Running on oeis4.)