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A252013 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8 1

%I #4 Dec 12 2014 14:07:24

%S 2458,4570,8930,16994,58970,159514,303906,1091906,2992258,5688946,

%T 20991418,58157050,110567106,415631962,1160467354,2206069826,

%U 8400830074,23579015866,44821554626,172160697370,484878952282,921675795266

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8

%C Column 6 of A252015

%H R. H. Hardin, <a href="/A252013/b252013.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +34*a(n-3) -34*a(n-4) -273*a(n-6) +273*a(n-7) for n>17

%e Some solutions for n=4

%e ..2..3..1..2..3..1..2..3....2..3..1..2..3..1..2..0....0..2..1..3..2..1..3..2

%e ..2..1..0..2..1..0..2..1....1..1..1..1..1..1..1..1....2..3..1..2..3..1..2..3

%e ..2..2..2..2..2..2..2..2....0..2..1..3..2..1..3..2....1..1..1..1..1..1..1..1

%e ..2..0..1..2..0..1..2..0....2..3..1..2..3..1..2..0....3..2..1..3..2..1..0..2

%e ..2..1..0..2..1..0..2..1....1..1..1..1..1..1..1..1....2..0..1..2..3..1..2..3

%e ..2..2..2..2..2..2..2..2....0..2..1..3..2..1..3..2....1..1..1..1..1..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified April 23 13:41 EDT 2024. Contains 371914 sequences. (Running on oeis4.)