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A252257 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7 1

%I #4 Dec 16 2014 07:41:11

%S 1072,1331,965,972,1086,1187,1468,1936,2388,3052,4008,5018,6478,8548,

%T 10818,14040,18564,23632,30772,40702,52062,67962,89866,115438,150986,

%U 199570,257342,337104,445444,576372,755968,998760,1296302,1702042

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

%C Column 1 of A252260

%H R. H. Hardin, <a href="/A252257/b252257.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-3) +a(n-5) -8*a(n-6) -4*a(n-8) +4*a(n-9) +5*a(n-11) -2*a(n-14) for n>27

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)