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A236155 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock 9
81, 414, 414, 2148, 2502, 2148, 11064, 16128, 16128, 11064, 57132, 104436, 146568, 104436, 57132, 294648, 676980, 1351296, 1351296, 676980, 294648, 1520856, 4389660, 12511728, 18147240, 12511728, 4389660, 1520856, 7845624, 28462080 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........81........414.........2148...........11064.............57132

.......414.......2502........16128..........104436............676980

......2148......16128.......146568.........1351296..........12511728

.....11064.....104436......1351296........18147240.........244951596

.....57132.....676980.....12511728.......244951596........4851646302

....294648....4389660....115757328......3314019456.......96273257880

...1520856...28462080...1072589616.....44844204096.....1913809658142

...7845624..184549536...9925448784....606910061856....38000812688892

..40488216.1196622156..91969145856...8213634056940...755541000404862

.208893336.7758928296.851086457904.111161636064708.15002127360689268

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

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)

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..2..1....0..0..2..2..1....0..0..1..2..2....0..0..0..1..2

..0..0..0..1..2....0..1..2..2..0....0..0..0..0..0....1..0..0..0..0

..1..0..0..0..2....2..2..1..0..0....2..0..0..1..2....0..2..2..1..1

..2..0..1..2..2....1..1..0..1..2....1..2..2..2..2....0..0..1..2..0

CROSSREFS

Sequence in context: A102741 A253495 A253456 * A253449 A236148 A205986

Adjacent sequences:  A236152 A236153 A236154 * A236156 A236157 A236158

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 19 2014

STATUS

approved

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Last modified September 18 16:56 EDT 2021. Contains 347532 sequences. (Running on oeis4.)