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Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally
1

%I #4 Dec 02 2013 18:17:16

%S 192,554,7212,79810,932576,10700160,123516664,1422959686,16403819514,

%T 189062126148,2179181824046,25117338039572,289505052484974,

%U 3336861029886146,38460966820329646,443304625973863734

%N Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally

%C Column 7 of A232941

%H R. H. Hardin, <a href="/A232940/b232940.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +85*a(n-2) +432*a(n-3) +192*a(n-4) -3711*a(n-5) -5096*a(n-6) +21164*a(n-7) +27340*a(n-8) -112654*a(n-9) -37244*a(n-10) +477721*a(n-11) -464722*a(n-12) -897815*a(n-13) +3102284*a(n-14) -4149918*a(n-15) +2761082*a(n-16) -138325*a(n-17) -1353257*a(n-18) +942033*a(n-19) +64683*a(n-20) -365483*a(n-21) +80904*a(n-22) +92350*a(n-23) -27097*a(n-24) -23292*a(n-25) +2585*a(n-26) +5635*a(n-27) +1405*a(n-28) -561*a(n-29) -545*a(n-30) -173*a(n-31) -14*a(n-32) +5*a(n-33) +a(n-34) for n>35

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013