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Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3
1

%I #4 Dec 17 2014 11:08:49

%S 1677,13777,131202,1149386,10157387,91120655,812431496,7240016321,

%T 64612694441,576415113903,5141552056964,45867546386571,

%U 409176329077618,3650126535107922,32561858854371260,290476235647305936

%N Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

%C Column 2 of A252447

%H R. H. Hardin, <a href="/A252442/b252442.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252442/a252442.txt">Empirical recurrence of order 65</a>

%F Empirical recurrence of order 65 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014