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A252420 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7 1

%I #4 Dec 17 2014 10:20:50

%S 2380,3472,11409,22038,96549,365974,715123,3213732,12306520,23990357,

%T 108709726,418711825,816544950,3711392749,14333000180,27958629647,

%U 127259409020,492098163036,960046258237,4372912001964,16920554524983

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

%C Column 5 of A252423

%H R. H. Hardin, <a href="/A252420/b252420.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 76*a(n-3) -2082*a(n-6) +27585*a(n-9) -201704*a(n-12) +870200*a(n-15) -2284208*a(n-18) +3690384*a(n-21) -3708548*a(n-24) +2399781*a(n-27) -1049128*a(n-30) +305470*a(n-33) -52269*a(n-36) +4604*a(n-39) -160*a(n-42) for n>47

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)