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A181205
Number of n X n matrices containing a permutation of 1..n*n moving each element at most to a neighboring position.
2
1, 1, 9, 229, 32000, 19114420, 53786626921, 690427159718433, 40891433857372174697, 11135886394033736561250816, 13961976233873461322297385441657
OFFSET
0,3
FORMULA
a(n) = A287152(n,n^2).
EXAMPLE
All solutions for 2X2
..1..2....1..2....1..4....2..1....2..1....2..4....3..1....3..2....3..4
..3..4....4..3....3..2....3..4....4..3....1..3....4..2....1..4....1..2
MATHEMATICA
A181206 = Cases[Import["https://oeis.org/A181206/b181206.txt", "Table"], {_, _}][[All, 2]];
a[n_] := A181206[[2 n^2 - 2 n + 1]];
Table[a[n], {n, 1, 10}] (* Jean-François Alcover, Sep 23 2019 *)
CROSSREFS
Main diagonal of A181206.
Cf. A287152.
Sequence in context: A197428 A295941 A247019 * A152101 A230178 A165389
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 10 2010
EXTENSIONS
a(0) and a(10) from Alois P. Heinz, May 20 2017
STATUS
approved