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A233160 Number of 7Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally 1

%I #4 Dec 05 2013 05:59:45

%S 2187,24576,559872,12754584,310536504,7663517136,191184793128,

%T 4789657390320,120299942406312,3025032724863000,76113694540561176,

%U 1915649874890128728,48219906337917976512,1213839370935153274752

%N Number of 7Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally

%C Row 7 of A233155

%H R. H. Hardin, <a href="/A233160/b233160.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 55*a(n-1) -1066*a(n-2) +8965*a(n-3) -19778*a(n-4) -225541*a(n-5) +2020719*a(n-6) -6851286*a(n-7) +7381301*a(n-8) +20655503*a(n-9) -79401996*a(n-10) +80882723*a(n-11) +65337447*a(n-12) -222811374*a(n-13) +135953338*a(n-14) +120111164*a(n-15) -197698384*a(n-16) +43440564*a(n-17) +76879396*a(n-18) -52839536*a(n-19) -1810608*a(n-20) +13170096*a(n-21) -4166800*a(n-22) -433792*a(n-23) +532928*a(n-24) -126464*a(n-25) +13056*a(n-26) -512*a(n-27) for n>33

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 05 2013

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)