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A232903 Number of (n+1)X(3+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally 1

%I #4 Dec 02 2013 13:34:38

%S 52,320,4928,62276,761860,9880580,123587140,1571314692,19864803028,

%T 251467184100,3183335705332,40288593520196,509981865744852,

%U 6454933266401252,81703778819302772,1034162820208546180

%N Number of (n+1)X(3+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally

%C Column 3 of A232908

%H R. H. Hardin, <a href="/A232903/b232903.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +79*a(n-2) +128*a(n-3) -788*a(n-4) +196*a(n-5) -644*a(n-6) +416*a(n-7) -64*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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Last modified April 18 03:33 EDT 2024. Contains 371767 sequences. (Running on oeis4.)