A264494 Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.

52, 324, 9714, 142352, 2517024, 42169152, 714303376, 12077450784, 204161943712, 3452345816640, 58366975597504, 986868844185984, 16685367542010496, 282109578735300864, 4769776075129487104, 80645235669257971200

Offset

1,1

Comments

Row 6 of A264490.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +154*a(n-2) +612*a(n-3) -744*a(n-4) -12624*a(n-5) -45792*a(n-6) -7488*a(n-7) +66816*a(n-8) +235008*a(n-9) -995328*a(n-10) for n>11

Example

Some solutions for n=4
..5..2..7..4..9....1..6.14..8..9...12.13.14..8..9...12..2..7..4..9
.10..1.12.13.14...10..7..2.13..4....0.11..2..3..4...10.11..8.13.14
.15..0.17..8..3....5..0.17.18..3...15.16..1.18.19...15..0..1.18..3
.20.28..6.19.24...16.21.12.23.24...10..5..6..7.24...20..5..6.19.24
.21.26.11.18.29...15.26.11.28.19...21.26.27.28.29...25.26.27.28.29
.30.31.16.33.34...30.31.32.33.34...30.31.32.17.34...30.31.16.17.34
.25.32.27.22.23...25.20.27.22.29...25.20.33.22.23...21.32.33.22.23

Crossrefs

Cf. A264490.

Sequence in context: A232903 A262757 A262477 * A232404 A257940 A005946

Adjacent sequences: A264491 A264492 A264493 * A264495 A264496 A264497

Keyword

nonn

Author

R. H. Hardin, Nov 14 2015

Status

approved