A209098 Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.
122, 24256, 5171088, 1118366188, 242632290432, 52675800891748, 11437585318270860, 2483525516352937680, 539268195586029921832, 117095796409143583455428, 25425988916932630731090072
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..0..0..1..0....0..0..1..2..0..2....0..0..0..1..1..2....0..0..1..2..2..2 ..2..2..2..1..2..0....1..0..2..1..2..1....2..1..2..0..1..1....1..0..0..1..0..1 ..1..0..1..0..1..2....2..0..1..2..0..2....2..1..1..0..2..2....0..1..0..1..2..2 ..1..2..1..0..1..2....2..2..0..1..2..1....0..2..1..2..0..2....0..1..0..1..0..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 300*a(n-1) -20582*a(n-2) +603924*a(n-3) -9449609*a(n-4) +91922233*a(n-5) -653230134*a(n-6) +4097861625*a(n-7) -24669590390*a(n-8) +130239438691*a(n-9) -543298308924*a(n-10) +1704347583868*a(n-11) -3917246807088*a(n-12) +6481693905844*a(n-13) -8041265672017*a(n-14) +9445340887084*a(n-15) -12785808828112*a(n-16) +12798888267640*a(n-17) -2070180454016*a(n-18) -7015258833920*a(n-19) +3949705789040*a(n-20) +2252604606848*a(n-21) -4177948981504*a(n-22) +3059510444288*a(n-23) -1376634560512*a(n-24) +343950082048*a(n-25) -46623096832*a(n-26) +4254072832*a(n-27) -150994944*a(n-28) for n>30
Comments