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A209892 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order 1

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

%S 164,2304,32800,470736,6762544,97195728,1397061008,20081495760,

%T 288654902864,4149183188048,59641208080720,857295028870096,

%U 12322935895207376,177132428329388368,2546138151034718032

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

%C Column 3 of A209897

%H R. H. Hardin, <a href="/A209892/b209892.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +31*a(n-2) -366*a(n-3) -210*a(n-4) +2564*a(n-5) +40*a(n-6) -4096*a(n-7) -96*a(n-8) +1152*a(n-9)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 14 2012

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