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A252214 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7 1

%I

%S 1843,1437,3303,10486,35674,122694,420596,1446932,4990626,17183216,

%T 59122450,203560298,701041598,2413836224,8310468498,28613117980,

%U 98520290746,339220390968,1167963348088,4021394031706,13846106821196

%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7

%C Column 3 of A252219

%H R. H. Hardin, <a href="/A252214/b252214.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +13*a(n-3) +31*a(n-4) +43*a(n-5) +25*a(n-6) -64*a(n-7) -125*a(n-8) -49*a(n-9) +79*a(n-10) +119*a(n-11) +20*a(n-12) -53*a(n-13) -42*a(n-14) -12*a(n-15) +6*a(n-16) +4*a(n-17) +4*a(n-18) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified November 29 01:05 EST 2021. Contains 349415 sequences. (Running on oeis4.)