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Number of 4X(n+1) 0..2 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..2 introduced in row major order
1

%I #5 Mar 31 2012 12:37:07

%S 396,2052,13068,94116,708300,5439324,42094188,327077484,2547102732,

%T 19867584972,155171240076,1213352429196,9498114849804,74428751347980,

%U 583820737433100,4583937157350924,36024984866070540,283374615043095564

%N Number of 4X(n+1) 0..2 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..2 introduced in row major order

%C Row 3 of A205626

%H R. H. Hardin, <a href="/A205628/b205628.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 23*a(n-1) -174*a(n-2) +284*a(n-3) +2352*a(n-4) -10052*a(n-5) -1168*a(n-6) +65760*a(n-7) -78080*a(n-8) -116928*a(n-9) +255232*a(n-10) -49664*a(n-11) -116736*a(n-12) +49152*a(n-13)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2012