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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 1,0 or 1,2.
0

%I #6 Nov 10 2015 11:29:18

%S 4,48,3721,1143000,1608491236,10563801093680,324302970384650401,

%T 44925988058251637085336

%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 1,0 or 1,2.

%C Diagonal of A264272.

%e Some solutions for n=3

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

%e ..8.11..0..3....0.11.10..3....4..9.10..1....0..5..6.11....0..9..2..7

%e ..4..9.10..5...12.13..6..5....8.15..6..5...12.13.10..7...12..5.14.11

%e .12.13.14.15....8..9.14.15...12.13.14.11....8..9.14.15....8.13.10.15

%Y Cf. A264272.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2015