A189438 Number of 6Xn array permutations with each element not moving, or moving one space N, SW or SE.
1, 41, 367, 4653, 52241, 606201, 6944573, 79826592, 916320775, 10522129613, 120807652475, 1387081546065, 15925843986549, 182854110096077, 2099453348053203, 24105043866210197, 276763962980421232
Offset: 1
Keywords
Examples
Some solutions for 6X3 ..0..1..2....3..1..2....0..4..5....3..1..2....0..4..5....0..1..2....0..1..2 ..3..4..5....6..0..5....6..2..1....6..0..5....3..2..1....3..4..5....3..7..5 ..6..7.11....9.10..4....9..3.11....9..7..4....6..7.11....6.10.11....4.10..8 ..9..8.14....7..8.11....7..8.14...12..8.14....9..8.14....9..8..7...12..6.11 .12.13.10...12.13.14...15.16.10...10.11.17...10.16.17...15.16.14...15..9.14 .15.16.17...15.16.17...13.12.17...15.16.13...15.12.13...13.12.17...13.16.17
Links
- R. H. Hardin, Table of n, a(n) for n = 1..200
Formula
Empirical: a(n) = 15*a(n-1) -23*a(n-2) -262*a(n-3) +680*a(n-4) +550*a(n-5) -1875*a(n-6) +1927*a(n-7) -3037*a(n-8) +822*a(n-9) -652*a(n-10) +98*a(n-11) -33*a(n-12) +3*a(n-13) +a(n-14)
Comments