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Number of n X 5 arrays of permutations of 5 copies of 0..n-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.
0

%I #7 Jan 27 2024 16:28:54

%S 1,16,8880,29189088,284341627344,6395116792255680,

%T 285689982691389531024

%N Number of n X 5 arrays of permutations of 5 copies of 0..n-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.

%C Column 5 of A265241.

%e Some solutions for n=3:

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

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

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

%Y Cf. A265241.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 06 2015