A236737 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock equal

81, 345, 345, 1497, 2471, 1497, 6663, 17583, 17583, 6663, 29617, 131147, 203517, 131147, 29617, 132471, 975553, 2541745, 2541745, 975553, 132471, 592001, 7370761, 31912919, 55635639, 31912919, 7370761, 592001, 2651151, 55873999, 411993973

Offset

1,1

Comments

Table starts

.......81.........345...........1497.............6663...............29617

......345........2471..........17583...........131147..............975553

.....1497.......17583.........203517..........2541745............31912919

.....6663......131147........2541745.........55635639..........1233474275

....29617......975553.......31912919.......1233474275.........48557573047

...132471.....7370761......411993973......28500435385.......2008004960815

...592001....55873999.....5366177421.....665661690049......83786186492615

..2651151...426890075....70784178483...15768609931211....3541401724832083

.11872153..3275546533...939861919575..375569735335243..150147489759130827

.53217175.25261075001.12559245518677.8989526603612093.6386836928285332919

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 20]

k=3: [order 49]

Example

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

Crossrefs

Sequence in context: A237377 A237242 A236089 * A236730 A237324 A237730

Adjacent sequences: A236734 A236735 A236736 * A236738 A236739 A236740

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved