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A233161 Number of n X n 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs) 1

%I #6 Dec 18 2015 18:18:48

%S 1,1,96,28672,31457280,133143986176,2216615441596416,

%T 146421031085069565952,38534510500216304943759360,

%U 40485591044789076510300958621696

%N Number of n X n 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs)

%C Diagonal of A233168

%H R. H. Hardin, <a href="/A233161/b233161.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=4

%e ..0..1..0..2....0..1..2..1....0..1..2..1....0..1..7..1....0..1..2..6

%e ..3..5..3..6....5..3..7..3....5..3..0..3....2..3..5..3....5..3..0..4

%e ..0..6..0..2....0..6..5..6....0..6..2..1....1..7..6..7....7..6..5..1

%e ..4..2..3..6....2..4..7..3....5..3..0..4....4..5..3..5....5..4..7..3

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 05 2013

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)