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A205470 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:06

%S 175,1548,14639,147129,1504556,15614579,162976758,1709130780,

%T 17963198743,189127385194,1993106187666,21019022873891,

%U 221754001074914,2340228495931166,24701472352877203,260760556151955406

%N Number of (n+1)X4 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

%C Column 3 of A205475

%H R. H. Hardin, <a href="/A205470/b205470.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) -75*a(n-2) -688*a(n-3) +5022*a(n-4) -496*a(n-5) -63723*a(n-6) +111258*a(n-7) +251463*a(n-8) -817674*a(n-9) -9180*a(n-10) +2101200*a(n-11) -1759426*a(n-12) -1578136*a(n-13) +2839836*a(n-14) -596208*a(n-15) -1049272*a(n-16) +620728*a(n-17) +18624*a(n-18) -96072*a(n-19) +24528*a(n-20) -1728*a(n-21)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)