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A232572 Number of (n+1)X(1+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically or antidiagonally 1

%I #4 Nov 26 2013 17:27:45

%S 16,72,516,3048,18944,115892,713488,4389504,26985196,165981072,

%T 1020610296,6276755004,38599285272,237374373944,1459772807380,

%U 8977123838008,55206398795888,339501216593668,2087821797237664

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

%C Column 1 of A232579

%H R. H. Hardin, <a href="/A232572/b232572.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +19*a(n-2) +26*a(n-3) +52*a(n-4) +218*a(n-5) +11*a(n-6) -258*a(n-7) +15*a(n-8) +108*a(n-9) -64*a(n-10) +16*a(n-11)

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013

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Last modified July 5 11:29 EDT 2024. Contains 374026 sequences. (Running on oeis4.)