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A252187 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7 1

%I #4 Dec 15 2014 07:29:27

%S 2055,2610,3705,5460,8945,13737,20974,34209,53194,82196,134418,210132,

%T 325600,533076,835480,1296248,2123352,3332064,5172904,8475744,

%U 13308784,20667656,33867888,53196432,82622920,135401616,212708560,330396488

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

%C Column 3 of A252192

%H R. H. Hardin, <a href="/A252187/b252187.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-3) -14*a(n-6) +8*a(n-9) for n>15

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)