A264309 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2.

52, 735, 11206, 167348, 2495425, 37246076, 555887421, 8296387518, 123820898705, 1847985023104, 27580552397045, 411630441796269, 6143445459997307, 91688850773162871, 1368425163267133554, 20423283873658284388

Offset

1,1

Comments

Column 4 of A264313.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 16*a(n-1) -15*a(n-2) -269*a(n-4) +567*a(n-5) -632*a(n-6) +622*a(n-7) -669*a(n-8) +1942*a(n-9) -5477*a(n-10) +10021*a(n-11) -10882*a(n-12) +10635*a(n-13) -9753*a(n-14) +6511*a(n-15) -4210*a(n-16) +2145*a(n-17) -946*a(n-18) +450*a(n-19) -162*a(n-20) +27*a(n-21)

Example

Some solutions for n=4
..0..8..2..3..4....7..0..2..1..3....0..1..9..3..4....7..1..9..3..2
..5..1..6..7..9...12..6.14..8..4...12.13..2..6..8....0..5..6..8..4
.10.18.19.13.14....5.11.10.13..9....5.10..7.11.14...17.10.19.12.14
.22.11.12.16.17...22.16.24.18.17...22.23.16.17.19...15.11.24.13.18
.15.21.20.23.24...15.21.20.23.19...15.20.21.18.24...20.16.21.23.22

Crossrefs

Cf. A264313.

Sequence in context: A255945 A215365 A339142 * A160344 A163691 A007247

Adjacent sequences: A264306 A264307 A264308 * A264310 A264311 A264312

Keyword

nonn

Author

R. H. Hardin, Nov 11 2015

Status

approved