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A232511 Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal 1

%I #4 Nov 25 2013 06:57:23

%S 54,326,2516,19138,145682,1110752,8470018,64594290,492627324,

%T 3757052022,28653492802,218528696816,1666631440922,12710736921242,

%U 96939753662116,739321100203858,5638509196177426,43002676390969828,327964380966543498

%N Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

%C Column 4 of A232515

%H R. H. Hardin, <a href="/A232511/b232511.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +a(n-2) -23*a(n-3) -48*a(n-4) -9*a(n-5) +40*a(n-6) +44*a(n-7) +5*a(n-8) -20*a(n-9) +3*a(n-10) +9*a(n-11) +6*a(n-12) -a(n-13) -2*a(n-14)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2013

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Last modified May 8 04:34 EDT 2024. Contains 372319 sequences. (Running on oeis4.)