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A252301 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7 1

%I

%S 2670,1992,2287,3032,5117,7489,10626,18971,28579,41037,74183,112451,

%T 162093,294327,447155,645357,1173623,1784435,2576493,4688247,7130483,

%U 10297197,18741623,28508531,41172333,74944887,114008435,164657517

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7

%C Column 4 of A252305

%H R. H. Hardin, <a href="/A252301/b252301.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>18

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014

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Last modified August 14 03:14 EDT 2022. Contains 356109 sequences. (Running on oeis4.)