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Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X 6 array.
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%I #5 May 23 2023 12:11:46

%S 56,68,2949,43246,794035,12642165,204182570,3262185744,51923512311,

%T 803742526337,11939403815901,169713252987334,2325931123371691,

%U 31028886418348831

%N Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X 6 array.

%C Column 6 of A219802.

%e Some solutions for n=3

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

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

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

%Y Cf. A219802.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2012