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%I #6 Dec 13 2014 16:58:08
%S 125,200,383,843,1948,4569,10836,25739,61193,145794,347496,828129,
%T 1973810,4704512,11212968,26726886,63705038,151842605,361924119,
%U 862663872,2056196252,4901041429,11681865518,27844260428,66368096889
%N Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4
%C Column 1 of A252065
%H R. H. Hardin, <a href="/A252058/b252058.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) -a(n-2) +9*a(n-3) -10*a(n-4) +7*a(n-5) -24*a(n-6) +12*a(n-7) -18*a(n-8) +23*a(n-9) +7*a(n-10) +26*a(n-11) -2*a(n-12) -21*a(n-13) -21*a(n-14) -12*a(n-15) +13*a(n-16) +5*a(n-17) +7*a(n-18) -a(n-19) +4*a(n-20) -2*a(n-21) -2*a(n-23) for n>24
%e Some solutions for n=4
%e ..2..1..2....2..2..1....1..1..1....2..2..2....1..0..2....2..1..2....1..0..2
%e ..1..2..2....2..2..2....2..2..2....2..2..2....0..2..1....2..2..2....2..1..2
%e ..2..2..2....2..2..2....2..2..2....2..1..2....2..1..2....1..2..2....2..2..1
%e ..2..2..2....1..2..2....2..2..1....2..2..2....1..2..2....2..1..2....1..2..2
%e ..1..2..2....2..2..2....2..2..2....2..2..1....2..2..1....0..2..1....2..2..2
%e ..2..1..2....2..1..2....2..2..2....1..2..2....2..1..2....1..2..2....2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 13 2014
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