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A252467 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8 1

%I

%S 716,682,813,1463,3497,9056,24331,66366,182232,501727,1381625,3805197,

%T 10482896,28880351,79562832,219191402,603866771,1663632701,4583248473,

%U 12626699802,34786145839,95834674648,264021358176,727370136753

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

%C Column 2 of A252473

%H R. H. Hardin, <a href="/A252467/b252467.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +7*a(n-3) +7*a(n-4) +7*a(n-5) +4*a(n-6) -2*a(n-7) -4*a(n-8) -9*a(n-9) -8*a(n-10) -7*a(n-11) -3*a(n-12) +a(n-13) +3*a(n-14) +2*a(n-15) +a(n-16) for n>21

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified August 15 13:59 EDT 2022. Contains 356145 sequences. (Running on oeis4.)