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

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

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