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A207230 Number of nX3 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal 1

%I

%S 23,529,5853,79353,1089017,14540437,191801477,2533992385,33633408281,

%T 446969194245,5934335699013,78734145422409,1044643855277649,

%U 13863317628561493,183990202045624685,2441770188415757129

%N Number of nX3 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal

%C Column 3 of A207235

%H R. H. Hardin, <a href="/A207230/b207230.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -84*a(n-2) +531*a(n-3) +1301*a(n-4) -257*a(n-5) +17030*a(n-6) -106*a(n-7) -212554*a(n-8) -1296056*a(n-9) +155344*a(n-10) +7596656*a(n-11) +2224800*a(n-12) -11493056*a(n-13) -26888992*a(n-14) -43257728*a(n-15) -8055680*a(n-16) -42288128*a(n-17) -40871936*a(n-18) -16979968*a(n-19) -18243584*a(n-20) +92192768*a(n-21) +1687552*a(n-22) +123764736*a(n-23) -22282240*a(n-24) -27852800*a(n-25) for n>28

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012

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Last modified October 25 19:28 EDT 2020. Contains 338012 sequences. (Running on oeis4.)