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A209824 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:30

%S 218,4418,90000,1842509,37744836,773359089,15846003427,324684577671,

%T 6652797311199,136316077450664,2793121983572647,57231184269590694,

%U 1172669322792974754,24028042740488215416,492335585844232823766

%N Number of (n+1)X4 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

%C Column 3 of A209829

%H R. H. Hardin, <a href="/A209824/b209824.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -62*a(n-2) -226*a(n-3) +445*a(n-4) +475*a(n-5) -811*a(n-6) +29*a(n-7) +147*a(n-8) -20*a(n-9)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 13 2012

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Last modified July 14 05:06 EDT 2024. Contains 374291 sequences. (Running on oeis4.)