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Number of (n+1) X 6 0..3 arrays with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order.
1

%I #7 Jun 09 2023 22:13:25

%S 106128,82334080,62266883792,47230418649056,35812807522735456,

%T 27156404472228366416,20592266925119437726832,

%U 15614795007214470941282288,11840454887140875850002019792,8978431861925855994884666459456

%N Number of (n+1) X 6 0..3 arrays with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order.

%C Column 5 of A210413.

%H R. H. Hardin, <a href="/A210410/b210410.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A210413.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2012