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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 25 07:27 EDT 2021. Contains 347654 sequences. (Running on oeis4.)