A206206 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases

256, 480, 480, 1768, 1060, 1768, 7388, 3008, 3008, 7388, 29724, 9464, 5136, 9464, 29724, 117084, 22576, 11832, 11832, 22576, 117084, 468968, 67968, 27400, 32920, 27400, 67968, 468968, 1878808, 192808, 60800, 70168, 70168, 60800, 192808

Offset

1,1

Comments

Table starts

.....256....480...1768...7388...29724..117084..468968..1878808..7493008

.....480...1060...3008...9464...22576...67968..192808...496088..1475768

....1768...3008...5136..11832...27400...60800..145208...346080...775944

....7388...9464..11832..32920...70168..109720..337896...728704..1137208

...29724..22576..27400..70168..118936..236488..713408..1226384..2475328

..117084..67968..60800.109720..236488..484704.1080648..2383520..5023520

..468968.192808.145208.337896..713408.1080648.3270240..7008160.10936160

.1878808.496088.346080.728704.1226384.2383520.7008160.11893600.23648800

Links

R. H. Hardin, Table of n, a(n) for n = 1..759

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +17*a(n-3) -5*a(n-4) +2*a(n-5) for n>6

k=2: a(n) = 3*a(n-2) +14*a(n-3) -3*a(n-4) +a(n-5) +a(n-6) +a(n-7) for n>9

k=3: a(n) = 10*a(n-3) +5*a(n-4) +a(n-5) +2*a(n-8) +2*a(n-10) for n>18

k=4: a(n) = 10*a(n-3) +a(n-9) for n>18

k=5: a(n) = 10*a(n-3) for n>15

k=6: a(n) = 10*a(n-3) for n>16

k=7: a(n) = 10*a(n-3) for n>17

apparently a(n) = 10*a(n-3) for k>4 and n>k+5

Example

Some solutions for n=4 k=3
..3..3..3..2....1..3..2..2....1..0..2..2....3..2..2..0....3..0..0..0
..3..0..0..2....1..1..2..2....1..1..2..2....0..2..2..2....3..3..0..0
..0..0..0..1....1..1..1..2....1..1..1..2....0..0..2..2....3..3..3..0
..0..0..1..1....0..1..1..1....3..1..1..1....0..0..0..2....0..3..3..0
..1..1..1..1....0..0..1..1....3..3..1..1....2..0..0..1....0..0..0..0

Crossrefs

Sequence in context: A221259 A223693 A223064 * A206199 A271811 A255998

Adjacent sequences: A206203 A206204 A206205 * A206207 A206208 A206209

Keyword

nonn,tabl

Author

R. H. Hardin Feb 04 2012

Status

approved