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A252237 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7 1

%I #4 Dec 15 2014 19:23:10

%S 858,3896,16056,43848,215424,932024,2568432,12882368,56984208,

%T 157483872,797509248,3566733728,9868152000,50206873856,225779393856,

%U 624968085888,3187016753664,14371363263104,39789382386432,203137189250048

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7

%C Column 2 of A252243

%H R. H. Hardin, <a href="/A252237/b252237.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 118*a(n-3) -4264*a(n-6) +55168*a(n-9) -225280*a(n-12) +262144*a(n-15) for n>16

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified July 27 18:35 EDT 2024. Contains 374650 sequences. (Running on oeis4.)