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A252010 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8 1

%I

%S 1110,1406,1434,2170,4770,8930,14450,33530,63546,103410,245210,469018,

%T 766066,1846586,3555450,5822514,14197274,27460186,45050098,110701178,

%U 214764474,352750770,871224410,1693530778,2783756146,6897870266

%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8

%C Column 3 of A252015

%H R. H. Hardin, <a href="/A252010/b252010.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +13*a(n-3) -13*a(n-4) -40*a(n-6) +40*a(n-7) for n>14

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified June 29 15:34 EDT 2022. Contains 354913 sequences. (Running on oeis4.)