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

%I #6 Nov 10 2015 10:50:26

%S 1,5,169,20570,9150625,21860843125,252579343635025,

%T 12379056073433237760

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

%C Diagonal of A264017.

%e Some solutions for n=4

%e ..7..1.14..3..4....0..8.14..3..4....0..1..2..3..4...12..8.14..3..4

%e .12.13..0..8..9...17..6..7..1..9...12..6.19..8..9....5.18..0..1..9

%e .10.11.24..6..2...22.23.12.13..2...10.18.24.13.14...22.11.19.13..2

%e .15.23..5.18.19...15.16..5.18.19...15.23..5.11..7...15.23.17..6..7

%e .20.21.22.16.17...20.21.10.11.24...20.21.22.16.17...20.21.10.16.24

%Y Cf. A264017.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 01 2015