A264543 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 -1,2 1,0 or 0,-1.

0, 2, 16, 216, 14852, 1994830, 591482528, 510948245264, 1135318355003028, 6257173857277450930

Offset

1,2

Comments

Diagonal of A264550.

Links

Table of n, a(n) for n=1..10.

Example

Some solutions for n=4
..1..5..6..4..8....1..5..3..4..7....1..2..3..4..7....1..2..3..4..7
..0..7..2..3.12....0.10..2..9.12....0.10..8..9.12....0.10..8.11.12
.11.15.16.14..9...11..6.13..8.17....5..6.13.14.18....5..6.13.17..9
.10.20.18.13.23...16.20.18.21.14...16.11.20.21.23...16.20.18.21.14
.21.22.17.24.19...15.22.23.24.19...15.22.17.24.19...15.22.23.24.19

Crossrefs

Cf. A264550.

Sequence in context: A062971 A267782 A012164 * A223638 A188688 A188844

Adjacent sequences: A264540 A264541 A264542 * A264544 A264545 A264546

Keyword

nonn

Author

R. H. Hardin, Nov 17 2015

Status

approved