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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 -1,1 0,-1 0,1 or 1,0.
0

%I #4 Nov 15 2015 18:33:15

%S 1,2,46,1224,110185,26941396,17171750212,31199983979828,

%T 152008946406877474

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

%C Diagonal of A264506.

%e Some solutions for n=4

%e ..1..0..3..7..8....1..2..6..4..3....1..0..3..2..8....1..5..3..2..8

%e ..6..5..2..9..4....0..7.11.12.13....6..7.11..9..4....0.10..6..7..4

%e .11.12.16.14.13....5.15.16..8..9....5.12.13.14.18...11.12.13.14..9

%e .10.17.18.22.23...10.20.18.17.14...10.20.16.17.23...16.20.18.17.23

%e .15.20.21.24.19...21.22.23.24.19...15.22.21.24.19...15.22.21.24.19

%Y Cf. A264506.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 15 2015