A264873 Number of (n+1)X(n+1) arrays of permutations of 0..(n+1)^2-1 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

1, 0, 5, 12, 3613, 207424, 68488297, 47123513432, 79332328368931

Offset

1,3

Comments

Diagonal of A264878.

Links

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

Example

Some solutions for n=4
..1..2.12..4.14...10..2..3..4.14....1..2.12..4.14....1..2..3..4.14
.15..0..8..9..3....6..0..1..9.19....6..0..8..9..3....6..0.17..9.19
.20..5..6..7.24...20..5.22..7..8...20..5.22..7.24...20..5.22..7..8
.16.10.11.19.13...16.17.11.12.13...16.10.11.19.13...16.10.11.12.13
.21.22.23.17.18...21.15.23.24.18...21.15.23.17.18...21.15.23.24.18

Crossrefs

Cf. A264878.

Sequence in context: A290804 A353365 A146542 * A116058 A231692 A245776

Adjacent sequences: A264870 A264871 A264872 * A264874 A264875 A264876

Keyword

nonn

Author

R. H. Hardin, Nov 27 2015

Status

approved