A259515 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0101 0111

11, 31, 31, 87, 129, 87, 245, 533, 533, 245, 689, 2219, 3270, 2219, 689, 1939, 9227, 20293, 20293, 9227, 1939, 5455, 38409, 126045, 189211, 126045, 38409, 5455, 15349, 159845, 784130, 1769635, 1769635, 784130, 159845, 15349, 43185, 665339, 4879059

Offset

1,1

Comments

Table starts

.....11.......31.........87..........245............689.............1939

.....31......129........533.........2219...........9227............38409

.....87......533.......3270........20293.........126045...........784130

....245.....2219......20293.......189211........1769635.........16602297

....689.....9227.....126045......1769635.......25009044........355119489

...1939....38409.....784130.....16602297......355119489.......7648655920

...5455...159845....4879059....155863519.....5050441910.....165145291429

..15349...665339...30366347...1464104971....71892362811....3570854380319

..43185..2769251..189000090..13754727159..1023722858631...77252441141038

.121507.11526489.1176388523.129236342101.14580213573278.1671822431529063

Links

R. H. Hardin, Table of n, a(n) for n = 1..419

Formula

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +11*a(n-2) -4*a(n-3) -18*a(n-4)

k=3: [order 10]

k=4: [order 14]

k=5: [order 36]

k=6: [order 56]

Example

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

Crossrefs

Sequence in context: A112260 A196114 A250468 * A183845 A022423 A173972

Adjacent sequences: A259512 A259513 A259514 * A259516 A259517 A259518

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 29 2015

Status

approved