A189439 Number of 7Xn array permutations with each element not moving, or moving one space N, SW or SE.
1, 85, 1245, 26589, 493941, 9557077, 181540773, 3467525301, 66045131269, 1258981901653, 23988387057381, 457127606313333, 8710469146675973, 165979359956189589, 3162723963901817637, 60265641669988070325
Offset: 1
Keywords
Examples
Some solutions for 7X3 ..0..1..2....3..1..2....3..1..2....0..1..2....0..1..2....3..4..2....0..1..2 ..3..7..8....6..0..5....6..0..5....3..4..5....3..4..5....1..0..5....6..7..5 ..6..5..4....9..7..4....4.10.11....6..7..8....6..7.11....6.10.11....4..3..8 ..9.13.14...12..8.14....9..8..7...12.13.11...12..8.14....7..8.14....9.13.14 .12.11.10...15.11.10...12.13.17...10..9.14...15..9.10...12..9.17...12.11.10 .15.19.20...13.19.20...15.14.20...15.19.20...18.19.13...18.19.13...18.19.17 .18.17.16...18.17.16...18.19.16...18.17.16...16.17.20...16.15.20...16.15.20
Links
- R. H. Hardin, Table of n, a(n) for n = 1..200
Formula
Empirical: a(n) = 23*a(n-1) +26*a(n-2) -2256*a(n-3) +3272*a(n-4) +63936*a(n-5) -101752*a(n-6) -714624*a(n-7) +1041216*a(n-8) +3522752*a(n-9) -4444032*a(n-10) -7691264*a(n-11) +5545472*a(n-12) +11157504*a(n-13) -4947968*a(n-14) -4030464*a(n-15)
Comments