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%I #4 Dec 17 2014 10:18:02
%S 830,1006,1099,1536,2380,3719,5725,9410,15913,24959,41482,71673,
%T 113483,190458,331355,528273,890510,1550563,2484529,4198986,7302055,
%U 11748241,19885680,34513509,55726873,94410220,163496363,264847361,448910350
%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7
%C Column 1 of A252423
%H R. H. Hardin, <a href="/A252416/b252416.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = -a(n-1) -a(n-2) +15*a(n-3) +15*a(n-4) +15*a(n-5) -87*a(n-6) -86*a(n-7) -83*a(n-8) +256*a(n-9) +243*a(n-10) +212*a(n-11) -455*a(n-12) -388*a(n-13) -273*a(n-14) +622*a(n-15) +437*a(n-16) +231*a(n-17) -769*a(n-18) -437*a(n-19) -200*a(n-20) +840*a(n-21) +360*a(n-22) +93*a(n-23) -826*a(n-24) -210*a(n-25) +81*a(n-26) +707*a(n-27) +74*a(n-28) -162*a(n-29) -496*a(n-30) +3*a(n-31) +162*a(n-32) +314*a(n-33) -27*a(n-34) -134*a(n-35) -166*a(n-36) +35*a(n-37) +92*a(n-38) +54*a(n-39) -22*a(n-40) -39*a(n-41) -8*a(n-42) +4*a(n-43) +6*a(n-44) for n>49
%e Some solutions for n=4
%e ..0..1..0....3..2..3....1..2..0....0..3..1....1..0..0....1..2..1....1..1..2
%e ..1..2..1....0..3..0....2..1..1....2..0..1....2..1..1....3..1..0....3..0..1
%e ..0..1..3....0..3..0....1..0..3....1..0..2....1..3..0....0..1..3....0..0..1
%e ..0..1..0....3..2..3....1..0..0....1..3..0....1..0..0....1..2..1....1..1..2
%e ..1..2..1....0..3..0....2..1..1....2..1..1....2..1..1....0..1..0....0..0..1
%e ..0..1..0....1..3..0....1..0..3....1..0..3....1..0..3....3..1..0....0..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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