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A232919 Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally 1

%I #4 Dec 02 2013 14:08:07

%S 192,2952,54600,1054446,20706696,409408542,8119777890,161274860934,

%T 3205524631536,63736076920680,1267501914060906,25208720719305108,

%U 501386554599817674,9972511770847267278,198354251861625923238

%N Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally

%C Column 7 of A232920

%H R. H. Hardin, <a href="/A232919/b232919.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 41*a(n-1) -549*a(n-2) +2618*a(n-3) +700*a(n-4) -36805*a(n-5) +58333*a(n-6) +125681*a(n-7) -324274*a(n-8) -57887*a(n-9) +571708*a(n-10) -269670*a(n-11) -297677*a(n-12) +291231*a(n-13) -41230*a(n-14) -33231*a(n-15) +11178*a(n-16) -6*a(n-17) -348*a(n-18) +32*a(n-19)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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Last modified July 22 00:58 EDT 2024. Contains 374478 sequences. (Running on oeis4.)