A235856 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock

100, 688, 688, 4524, 9600, 4524, 30624, 121244, 121244, 30624, 203804, 1629216, 2848572, 1629216, 203804, 1370656, 21301696, 73075844, 73075844, 21301696, 1370656, 9159084, 283036828, 1811192156, 3725170008, 1811192156, 283036828

Offset

1,1

Comments

Table starts

......100.........688...........4524.............30624...............203804

......688........9600.........121244...........1629216.............21301696

.....4524......121244........2848572..........73075844...........1811192156

....30624.....1629216.......73075844........3725170008.........181155460364

...203804....21301696.....1811192156......181155460364.......17118907645314

..1370656...283036828....45872598284.....9088092971636.....1681785844690652

..9159084..3731137160..1149967012292...449721286329228...162539090628898856

.61448672.49409402632.29010506163148.22443371269251304.15873176185179453176

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +37*a(n-2) -10*a(n-3) -200*a(n-4) +128*a(n-5)

k=2: [order 13]

k=3: [order 43]

Example

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

Crossrefs

Sequence in context: A231046 A250707 A250708 * A235850 A264539 A233635

Adjacent sequences: A235853 A235854 A235855 * A235857 A235858 A235859

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved