A236164 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..2 introduced row-major order

14, 69, 69, 358, 417, 358, 1844, 2688, 2688, 1844, 9522, 17406, 24428, 17406, 9522, 49108, 112830, 225216, 225216, 112830, 49108, 253476, 731610, 2085288, 3024540, 2085288, 731610, 253476, 1307604, 4743680, 19292888, 40825266, 40825266

Offset

1,1

Comments

Table starts

.......14.........69..........358...........1844.............9522

.......69........417.........2688..........17406...........112830

......358.......2688........24428.........225216..........2085288

.....1844......17406.......225216........3024540.........40825266

.....9522.....112830......2085288.......40825266........808607717

....49108.....731610.....19292888......552336576......16045542980

...253476....4743680....178764936.....7474034016.....318968276357

..1307604...30758256...1654241464...101151676976....6333468781482

..6748036..199437026..15328190976..1368939009490..125923500067477

.34815556.1293154716.141847742984.18526939344118.2500354560114878

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +18*a(n-2) +16*a(n-3) +12*a(n-4) -12*a(n-5) for n>6

k=2: [order 8]

k=3: [order 23] for n>26

k=4: [order 62] for n>66

Example

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

Crossrefs

Sequence in context: A071616 A008529 A075480 * A254004 A238822 A244943

Adjacent sequences: A236161 A236162 A236163 * A236165 A236166 A236167

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 19 2014

Status

approved