A236035 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2X2 subblock

81, 384, 384, 1848, 2460, 1848, 8856, 14980, 14980, 8856, 42724, 93640, 116786, 93640, 42724, 205660, 595416, 965344, 965344, 595416, 205660, 990076, 3752292, 8289258, 11384132, 8289258, 3752292, 990076, 4760380, 23516900, 68613596

Offset

1,1

Comments

Table starts

........81........384.........1848...........8856............42724

.......384.......2460........14980..........93640...........595416

......1848......14980.......116786.........965344..........8289258

......8856......93640.......965344.......11384132........135945364

.....42724.....595416......8289258......135945364.......2282216166

....205660....3752292.....68613596.....1562942580......36483535032

....990076...23516900....570818506....18041076392.....590896758666

...4760380..147865936...4747089488...210792493144....9608835890536

..22914572..931263424..39848021722..2453096266960..156707889598596

.110251484.5858644440.330427763000.28456755301120.2530161441550248

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 19]

k=3: [order 92] for n>95

Example

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

Crossrefs

Sequence in context: A205909 A237843 A205737 * A236028 A233157 A237108

Adjacent sequences: A236032 A236033 A236034 * A236036 A236037 A236038

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2014

Status

approved