A264308 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2.

20, 139, 1032, 7821, 58589, 440001, 3303761, 24804389, 186235917, 1398284827, 10498514008, 78824309712, 591823863505, 4443495809997, 33362384112056, 250489416337221, 1880709349420292, 14120627165207273, 106019631155371477

Offset

1,1

Comments

Column 3 of A264313.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +6*a(n-2) -11*a(n-3) -46*a(n-4) +34*a(n-5) +54*a(n-6) -16*a(n-7) -85*a(n-8) +125*a(n-9) -120*a(n-10) +83*a(n-11) -41*a(n-12) +17*a(n-13) -6*a(n-14) +a(n-15)

Example

Some solutions for n=4
..6..1..2..3....6..0..2..3....0..7..1..2....6..0..2..1....6..7..2..3
..0..4..5..7...10..1..5..7....4.11..6..3....4.11..5..3....0..1..4..5
.14.15..9.11....4..8..9.11...14..5.10..9...14..9.10..7...14.15..8..9
..8.19.10.13...18.19.14.13....8.19.13.15....8.19.13.15...12.13.10.11
.12.16.17.18...12.16.17.15...12.17.16.18...12.17.16.18...16.17.18.19

Crossrefs

Cf. A264313.

Sequence in context: A262140 A140301 A264315 * A328174 A236988 A358865

Adjacent sequences: A264305 A264306 A264307 * A264309 A264310 A264311

Keyword

nonn

Author

R. H. Hardin, Nov 11 2015

Status

approved