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A252060 Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4 1

%I

%S 383,817,2349,7463,25220,86642,299027,1035506,3595103,12486601,

%T 43369095,150672097,523549752,1819232513,6321437284,21965788279,

%U 76327880609,265229912286,921639469993,3202571264044,11128513734186,38670172539533

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

%C Column 3 of A252065

%H R. H. Hardin, <a href="/A252060/b252060.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +22*a(n-3) -33*a(n-4) +15*a(n-5) -139*a(n-6) +2*a(n-7) +137*a(n-8) +528*a(n-9) +456*a(n-10) -850*a(n-11) -1169*a(n-12) -1091*a(n-13) +1754*a(n-14) +1358*a(n-15) +224*a(n-16) -2415*a(n-17) -932*a(n-18) +2998*a(n-19) +3877*a(n-20) +1738*a(n-21) -5090*a(n-22) -5435*a(n-23) -3690*a(n-24) +2739*a(n-25) +3715*a(n-26) +3257*a(n-27) +769*a(n-28) -176*a(n-29) -355*a(n-30) -1047*a(n-31) -928*a(n-32) -796*a(n-33) +60*a(n-34) +275*a(n-35) +230*a(n-36) +22*a(n-37) -40*a(n-38) -4*a(n-39) +8*a(n-40) +8*a(n-41) for n>46

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified September 25 12:03 EDT 2020. Contains 337343 sequences. (Running on oeis4.)