A264563 Number of (n+1)X(n+1) arrays of permutations of 0..(n+1)^2-1 with each element having directed index change 1,0 1,1 0,-1 or -1,1.

1, 2, 10, 192, 7808, 1133040, 298587595, 235814997396, 454723725317760

Offset

1,2

Comments

Diagonal of A264569.

Links

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

Example

Some solutions for n=4
..1..5..3..4..8....1..2..3..4..8....1..2..6..4..8....1..2..3..7..8
..0..7..2.12.13....0..7.11.12.13....0..7.11.12..3....6..0.11..9..4
.11.15..6.14..9....5.15..6.14..9....5.15.16.14..9....5.12.16.14.18
.10.20.18.22.23...10.20.18.22.23...10.20.18.13.23...10.20.21.13.23
.21.16.17.24.19...21.16.17.24.19...21.22.17.24.19...15.22.17.24.19

Crossrefs

Cf. A264569.

Sequence in context: A177399 A194971 A155200 * A156510 A246532 A159558

Adjacent sequences: A264560 A264561 A264562 * A264564 A264565 A264566

Keyword

nonn

Author

R. H. Hardin, Nov 17 2015

Status

approved