A210143 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order

1, 10, 10, 105, 221, 105, 1018, 4349, 4349, 1018, 9157, 78063, 159327, 78063, 9157, 77934, 1321270, 5451164, 5451164, 1321270, 77934, 638065, 21511540, 178904077, 363492269, 178904077, 21511540, 638065, 5084818, 341220491, 5714971168

Offset

1,2

Comments

Table starts

.......1.........10...........105.............1018................9157

......10........221..........4349............78063.............1321270

.....105.......4349........159327..........5451164...........178904077

....1018......78063.......5451164........363492269.........23560950847

....9157....1321270.....178904077......23560950847.......3047709295897

...77934...21511540....5714971168....1499212226898.....389550973002670

..638065..341220491..179321691502...94235638705314...49393019753138539

.5084818.5317431003.5559548788474.5875282322245525.6229274408854573641

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

Some solutions for n=4 k=3
..0..0..1..2....0..0..0..0....0..0..1..0....0..0..1..0....0..0..0..0
..3..3..2..1....0..1..1..0....0..1..1..1....2..2..3..2....1..0..2..0
..2..2..2..1....1..0..0..1....1..0..0..0....3..2..2..3....1..0..2..0
..2..3..2..1....0..0..0..0....0..0..0..0....1..0..2..2....1..0..2..0
..1..0..1..1....2..0..3..3....0..2..0..3....1..0..2..3....0..1..3..1

Crossrefs

Sequence in context: A288764 A287906 A210174 * A285941 A288300 A286407

Adjacent sequences: A210140 A210141 A210142 * A210144 A210145 A210146

Keyword

nonn,tabl

Author

R. H. Hardin Mar 17 2012

Status

approved