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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 29 2015
STATUS
approved