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Number of (n+1)X5 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 1169,46034,1842509,74564193,3025299170,122849339000,4989831357191,

%T 202690028329573,8233587523146604,334463675000101972,

%U 13586567965317596307,551913309230260581903,22419816737046235524034

%N Number of (n+1)X5 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 4 of A209829

%H R. H. Hardin, <a href="/A209825/b209825.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 60*a(n-1) -839*a(n-2) +1399*a(n-3) +31874*a(n-4) -122506*a(n-5) -318771*a(n-6) +1769870*a(n-7) +389301*a(n-8) -8009315*a(n-9) +3097168*a(n-10) +13833529*a(n-11) -8760492*a(n-12) -9461275*a(n-13) +7615892*a(n-14) +2191722*a(n-15) -2581040*a(n-16) +92008*a(n-17) +286200*a(n-18) -54000*a(n-19) -1264*a(n-20) +480*a(n-21)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 13 2012