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Number of (n+1) X (n+1) arrays of permutations of 0..(n+1)^2-1 with each element having directed index change 0,1 1,0 2,1 or -1,-1.
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%I #6 Sep 07 2022 16:06:58

%S 0,2,6,120,3540,310748,74367790,44706530288,66581992940380,

%T 252580385620049120

%N Number of (n+1) X (n+1) arrays of permutations of 0..(n+1)^2-1 with each element having directed index change 0,1 1,0 2,1 or -1,-1.

%C Diagonal of A264476.

%e Some solutions for n=4

%e ..6..0..8..9..3....6..0..1..2..3....6..7..1..9..3....6..0..8..9..3

%e .11..1..2.14..4...11..5.13.14..4....0..5..2.14..4...11..5..2..7..4

%e .16.10..7.19.13...16.17..7..8..9...16.17.11..8.13...16.10..1.12.13

%e .21..5.12.24.18...10.22.23.24.18...10.22.23.24.18...21.22.23.24.14

%e .15.20.17.22.23...15.20.21.12.19...15.20.21.12.19...15.20.17.18.19

%Y Cf. A264476.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 14 2015