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Number of 4X(n+1) 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:10

%S 870,17142,463878,13899222,431954406,13703317686,440473683078,

%T 14283616280598,465930004254822,15258594360495222,501007066854539526,

%U 16478709230048972886,542620670913354491622,17881085207300419763766

%N Number of 4X(n+1) 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order

%C Row 3 of A206169

%H R. H. Hardin, <a href="/A206172/b206172.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 69*a(n-1) -1494*a(n-2) +9190*a(n-3) +49137*a(n-4) -662493*a(n-5) +655164*a(n-6) +11804292*a(n-7) -31347567*a(n-8) -49939173*a(n-9) +213341850*a(n-10) -92654442*a(n-11) -92175489*a(n-12) +40920957*a(n-13)

%e Some solutions for n=4

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

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

%e ..1..2..1..2..0....1..0..1..0..1....3..1..3..1..3....1..1..0..1..2

%e ..3..2..0..2..1....1..1..3..1..1....0..3..0..3..2....0..2..2..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 04 2012