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Number of n X 4 arrays of permutations of 4 copies of 0..n-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.

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`%I #5 Mar 02 2023 12:38:45
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`%S 1,8,888,359172,327847656,559450092072,1595319525849600,
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`%T 7039355228926588752,45427065106451676216288
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`%N Number of n X 4 arrays of permutations of 4 copies of 0..n-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.
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`%C Column 4 of A265241.
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`%e Some solutions for n=3
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`%e ..0..0..0..1....0..1..0..2....0..1..2..0....0..0..1..2....0..1..1..2
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`%e ..1..2..2..0....2..1..1..1....0..1..1..0....2..2..0..0....2..2..0..2
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`%e ..1..1..2..2....0..2..0..2....2..2..2..1....1..1..1..2....0..1..0..1
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`%Y Cf. A265241.
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`%K nonn
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`%O 1,2
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`%A _R. H. Hardin_, Dec 06 2015
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