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Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 4Xn array
1

%I #4 Dec 07 2012 07:09:26

%S 20,103,1013,6855,42338,264239,1594229,8996095,47638710,240437466,

%T 1169737596,5509527123,25148632606,111340824937,478874919352,

%U 2004763896933,8184273650104,32633248916540,127260159420398

%N Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 4Xn array

%C Row 4 of A220204

%H R. H. Hardin, <a href="/A220207/b220207.txt">Table of n, a(n) for n = 1..203</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 07 2012