A237779 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 300, 300, 1176, 1456, 1176, 4480, 7220, 7220, 4480, 17768, 34738, 44224, 34738, 17768, 67152, 168120, 241036, 241036, 168120, 67152, 263504, 843310, 1618456, 2255544, 1618456, 843310, 263504, 1002432, 4176684, 10751680, 21945828

Offset

1,1

Comments

Table starts

.......81.......300........1176..........4480...........17768.............67152

......300......1456........7220.........34738..........168120............843310

.....1176......7220.......44224........241036.........1618456..........10751680

.....4480.....34738......241036.......2255544........21945828.........224887166

....17768....168120.....1618456......21945828.......331842772........4904397000

....67152....843310....10751680.....224887166......4904397000......117723591636

...263504...4176684....75418228....2190136632.....76440691940.....2748357091956

..1002432..20234876...465173744...22128390502...1155901368104....65728872219894

..3967808..98488592..3176256972..219294978892..18071506440724..1499406107437504

.15017792.490709904.21049234848.2263239636542.271890411395784.36564928000148830

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: a(n) = 188*a(n-4) +512*a(n-6) +336*a(n-8) -64*a(n-10) for n>13

k=2: [order 20] for n>22

k=3: [order 50] for n>55

Example

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

Crossrefs

Sequence in context: A235947 A237809 A237802 * A237772 A236819 A237099

Adjacent sequences: A237776 A237777 A237778 * A237780 A237781 A237782

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2014

Status

approved