A183827 T(n,k)=1/256 the number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor

1, 15, 15, 225, 813, 225, 3375, 43947, 43947, 3375, 50625, 2377341, 8538066, 2377341, 50625, 759375, 128578815, 1661285961, 1661285961, 128578815, 759375, 11390625, 6954559893, 323115202755, 1163575148283, 323115202755, 6954559893, 11390625

Offset

1,2

Comments

Table starts

...........1...............15.................225..................3375

..........15..............813...............43947...............2377341

.........225............43947.............8538066............1661285961

........3375..........2377341..........1661285961.........1163575148283

.......50625........128578815........323115202755.......814479338538099

......759375.......6954559893......62851591581012....570213177028325955

....11390625.....376152548283...12225396762980829.399185865558804067443

...170859375...20345104031589.2378005715920214025

..2562890625.1100412240703119

.38443359375

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions with upper left block zero for 4X3
..0..0..0....0..0..3....0..0..2....0..0..2....0..0..0....0..0..1....0..0..1
..0..0..1....0..0..3....0..0..2....0..0..1....0..0..2....0..0..3....0..0..1
..1..0..3....1..2..0....0..3..2....2..1..1....2..2..0....2..3..0....1..0..3
..3..3..0....2..2..2....0..2..3....3..1..1....1..3..3....2..2..1....1..0..0

Crossrefs

Column 1 is A001024(n-1)

Sequence in context: A240980 A134912 A165836 * A094836 A247388 A291575

Adjacent sequences: A183824 A183825 A183826 * A183828 A183829 A183830

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2011

Status

approved