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A252186 Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. 1

%I #6 Oct 20 2022 23:37:21

%S 1440,1886,2610,3996,6368,9508,15094,24092,36352,58610,94310,142892,

%T 231354,373418,566836,919562,1486322,2258180,3666858,5930882,9014692,

%U 14644970,23695010,36023012,58535274,94723298,144020836,234052202

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

%C Column 2 of A252192.

%H R. H. Hardin, <a href="/A252186/b252186.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>16.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A252192.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified April 24 11:14 EDT 2024. Contains 371936 sequences. (Running on oeis4.)