A237076 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock equal

256, 2132, 2132, 15882, 51000, 15882, 128988, 1046822, 1046822, 128988, 1042300, 23830240, 53940782, 23830240, 1042300, 8613338, 540277188, 3263989086, 3263989086, 540277188, 8613338, 71747464, 12551185804, 195683299844

Offset

1,1

Comments

Table starts

.....256........2132..........15882............128988..............1042300

....2132.......51000........1046822..........23830240............540277188

...15882.....1046822.......53940782........3263989086.........195683299844

..128988....23830240.....3263989086......540145357880.......88307088989348

.1042300...540277188...195683299844....88307088989348....39085052507056252

.8613338.12551185804.12159520038142.14967248359057988.17922505416903364948

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 26]

k=3: [order 62]

Example

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

Crossrefs

Sequence in context: A205954 A205466 A205459 * A237069 A346961 A206063

Adjacent sequences: A237073 A237074 A237075 * A237077 A237078 A237079

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2014

Status

approved