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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 1,0 1,1 0,-1 or -1,1.
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%I #4 Nov 17 2015 19:07:39

%S 1,2,10,192,7808,1133040,298587595,235814997396,454723725317760

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

%C Diagonal of A264569.

%e Some solutions for n=4

%e ..1..5..3..4..8....1..2..3..4..8....1..2..6..4..8....1..2..3..7..8

%e ..0..7..2.12.13....0..7.11.12.13....0..7.11.12..3....6..0.11..9..4

%e .11.15..6.14..9....5.15..6.14..9....5.15.16.14..9....5.12.16.14.18

%e .10.20.18.22.23...10.20.18.22.23...10.20.18.13.23...10.20.21.13.23

%e .21.16.17.24.19...21.16.17.24.19...21.22.17.24.19...15.22.17.24.19

%Y Cf. A264569.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015