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A207050 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases 9
81, 150, 150, 441, 270, 441, 1416, 552, 552, 1416, 4371, 1182, 750, 1182, 4371, 13386, 2244, 1272, 1272, 2244, 13386, 41589, 4722, 2094, 2244, 2094, 4722, 41589, 128700, 9582, 3408, 3408, 3408, 3408, 9582, 128700, 397335, 18930, 5850, 4836, 4944, 4836 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....81...150..441..1416..4371.13386.41589.128700.397335.1229310.3802377

....150...270..552..1182..2244..4722..9582..18930..39348...78804..159042

....441...552..750..1272..2094..3408..5850...9792..15966...26880...45024

...1416..1182.1272..2244..3408..4836..9144..13950..19752...36912...55944

...4371..2244.2094..3408..4944..7584.13752..20208..31158...55920...81936

..13386..4722.3408..4836..7584.11712.19200..30528..48096...78744..125184

..41589..9582.5850..9144.13752.19200.35904..54528..77376..146304..223200

.128700.18930.9792.13950.20208.30528.54528..79104.121344..220032..323328

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1624

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) +8*a(n-3) -2*a(n-4) for n>5

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

k=3: a(n) = 4*a(n-3) +a(n-4) for n>11

k=4: a(n) = 4*a(n-3) for n>12

k=5: a(n) = 4*a(n-3) for n>13

k=6: a(n) = 4*a(n-3) for n>14

k=7: a(n) = 4*a(n-3) for n>15

apparently a(n) = 4*a(n-3) for k>3 and n>k+8

EXAMPLE

Some solutions for n=4 k=3

..2..1..0..0....2..0..0..0....1..0..0..1....2..1..0..0....1..0..2..2

..2..0..0..0....2..2..0..0....1..0..0..0....2..2..0..0....1..1..2..2

..0..0..0..2....2..2..2..0....1..1..0..0....2..2..2..0....1..1..1..2

..0..0..1..1....1..2..2..2....1..1..1..2....0..2..2..0....0..1..1..1

..1..1..1..1....1..1..2..2....2..1..1..2....0..0..0..0....0..0..1..1

CROSSREFS

Sequence in context: A046317 A046374 A153259 * A206072 A207043 A206065

Adjacent sequences:  A207047 A207048 A207049 * A207051 A207052 A207053

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 14 2012

STATUS

approved

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Last modified May 8 09:57 EDT 2021. Contains 343666 sequences. (Running on oeis4.)