A264500 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.

1, 2, 46, 1224, 110185, 26941396, 17171750212, 31199983979828, 152008946406877474

Offset

1,2

Comments

Diagonal of A264506.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions for n=4
..1..0..3..7..8....1..2..6..4..3....1..0..3..2..8....1..5..3..2..8
..6..5..2..9..4....0..7.11.12.13....6..7.11..9..4....0.10..6..7..4
.11.12.16.14.13....5.15.16..8..9....5.12.13.14.18...11.12.13.14..9
.10.17.18.22.23...10.20.18.17.14...10.20.16.17.23...16.20.18.17.23
.15.20.21.24.19...21.22.23.24.19...15.22.21.24.19...15.22.21.24.19

Crossrefs

Cf. A264506.

Sequence in context: A012001 A012006 A279524 * A173586 A074041 A277554

Adjacent sequences: A264497 A264498 A264499 * A264501 A264502 A264503

Keyword

nonn

Author

R. H. Hardin, Nov 15 2015

Status

approved