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A252008 Number of (n+2)X(1+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

%S 756,1168,1110,1618,1970,2458,3246,4410,5802,7874,10910,14594,19726,

%T 27894,38154,52258,74678,102670,141578,205578,285918,396882,580242,

%U 810258,1131350,1669190,2342830,3281074,4860118,6840566,9612562,14299410

%N Number of (n+2)X(1+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 1 of A252015

%H R. H. Hardin, <a href="/A252008/b252008.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -2*a(n-2) +5*a(n-3) -8*a(n-4) +9*a(n-5) -8*a(n-6) +6*a(n-7) -9*a(n-8) +6*a(n-9) +a(n-10) -a(n-11) -3*a(n-13) +3*a(n-14) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified July 2 18:27 EDT 2022. Contains 355029 sequences. (Running on oeis4.)