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

1,1

Comments

Column 6 of A209100

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

Example

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

Crossrefs

Sequence in context: A275094 A275350 A208565 * A233016 A282055 A233080

Adjacent sequences: A209095 A209096 A209097 * A209099 A209100 A209101

Keyword

nonn

Author

R. H. Hardin Mar 05 2012

Status

approved