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 A206166 Number of (n+1)X6 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

%S 44585,2728486,431954406,26687737998,4224315021758,261163772277422,

%T 41314757480152390,2555772676080108894,404068253225094442462,

%U 25011015403359106400926,3951885553297306130869094

%N Number of (n+1)X6 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 Column 5 of A206169

%H R. H. Hardin, <a href="/A206166/b206166.txt">Table of n, a(n) for n = 1..34</a>

%F Empirical: a(n) = a(n-1) +9828*a(n-2) -9212*a(n-3) -491461*a(n-4) +246821*a(n-5) -124896442*a(n-6) +101165298*a(n-7) +1292222472*a(n-8) -569164536*a(n-9) -3891044736*a(n-10) +445357440*a(n-11) +3104538624*a(n-12) for n>13

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 04 2012

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Last modified September 21 07:28 EDT 2021. Contains 347596 sequences. (Running on oeis4.)