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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 19 00:12 EST 2019. Contains 329310 sequences. (Running on oeis4.)