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A186954 1/729 the number of (n+2)X3 0..2 arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace 1

%I #5 Mar 31 2012 12:36:06

%S 0,141,831,19881,201495,3281361,40300479,582004185,7640173839,

%T 105998979105,1423752376935,19487836291857,263820169007487,

%U 3594541860488409,48792090150495183,663751831202719713

%N 1/729 the number of (n+2)X3 0..2 arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace

%C Column 1 of A186962

%H R. H. Hardin, <a href="/A186954/b186954.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=17*a(n-1)-51*a(n-2)-331*a(n-3)+7181*a(n-4)-31635*a(n-5)+101790*a(n-6)-106596*a(n-7)+95256*a(n-8)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 01 2011

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Last modified April 24 16:34 EDT 2024. Contains 371961 sequences. (Running on oeis4.)