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A259250 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111 9
9, 21, 21, 48, 65, 48, 111, 192, 192, 111, 255, 581, 720, 581, 255, 588, 1733, 2816, 2816, 1733, 588, 1353, 5216, 10720, 14425, 10720, 5216, 1353, 3117, 15613, 41552, 71313, 71313, 41552, 15613, 3117, 7176, 46897, 159168, 361728, 451481, 361728, 159168 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....9.....21......48.......111........255..........588..........1353

....21.....65.....192.......581.......1733.........5216.........15613

....48....192.....720......2816......10720........41552........159168

...111....581....2816.....14425......71313.......361728.......1803859

...255...1733...10720.....71313.....451481......2964676......18970267

...588...5216...41552....361728....2964676.....25462352.....211569948

..1353..15613..159168...1803859...18970267....211569948....2259371001

..3117..46897..614560...9106657..123694345...1802996568...24946035357

..7176.140568.2360464..45601304..795726064..15090948960..268635598788

.16527.421901.9098240.229700941.5169185873.128059095616.2948447364239

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..449

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +3*a(n-2)

k=2: a(n) = 3*a(n-1) +4*a(n-2) -11*a(n-3) -3*a(n-4)

k=3: a(n) = 2*a(n-1) +12*a(n-2) -11*a(n-3) -30*a(n-4)

k=4: [order 11]

k=5: [order 17]

k=6: [order 31]

k=7: [order 54]

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..1..1....0..1..0..0..1....0..1..0..1..1....0..1..1..1..1

..1..1..0..1..0....1..1..1..1..1....0..1..1..1..0....0..1..0..0..0

..0..1..1..1..0....0..0..1..0..1....0..1..0..1..1....1..1..1..1..1

..0..1..0..1..0....1..1..1..1..1....1..1..1..1..0....1..0..0..0..1

..0..1..0..1..0....1..0..0..1..0....1..0..0..1..1....1..0..0..0..1

CROSSREFS

Sequence in context: A218164 A161326 A250783 * A251219 A284131 A111171

Adjacent sequences:  A259247 A259248 A259249 * A259251 A259252 A259253

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 22 2015

STATUS

approved

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Last modified August 4 05:02 EDT 2021. Contains 346442 sequences. (Running on oeis4.)