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A252681 Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7 1

%I #4 Dec 20 2014 12:58:16

%S 750,630,1005,1525,3185,6645,10933,24685,54782,91577,211344,479362,

%T 805863,1878870,4316287,7281075,17071625,39565761,66917777,157482493,

%U 367387630,622655713,1469264172,3444892538,5848122279,13827395422

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

%C Row 2 of A252679

%H R. H. Hardin, <a href="/A252681/b252681.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-3) -203*a(n-6) +722*a(n-9) -959*a(n-12) -64*a(n-15) +1043*a(n-18) -682*a(n-21) +120*a(n-24) for n>33

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2014

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Last modified April 19 15:03 EDT 2024. Contains 371794 sequences. (Running on oeis4.)