A237956 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1280, 1280, 6400, 7552, 6400, 34560, 45504, 45504, 34560, 186624, 300576, 336260, 300576, 186624, 1022976, 1989792, 2763512, 2763512, 1989792, 1022976, 5607424, 13448144, 22791116, 28736144, 22791116, 13448144, 5607424, 30916608

Offset

1,1

Comments

Table starts

.......256.......1280........6400.......34560......186624.....1022976

......1280.......7552.......45504......300576.....1989792....13448144

......6400......45504......336260.....2763512....22791116...192579544

.....34560.....300576.....2763512....28736144...300240232..3226849976

....186624....1989792....22791116...300240232..3981595988.54495006024

...1022976...13448144...192579544..3226849976.54495006024

...5607424...90873216..1628588344.34742206136

..30916608..619311968.13907568992

.170459136.4216944960

.939196416

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Formula

Empirical for column k:

k=1: a(n) = 976*a(n-4) -46848*a(n-8) +110592*a(n-12)

k=2: [order 44] for n>46

Example

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

Crossrefs

Sequence in context: A237000 A236979 A236973 * A237241 A120054 A237952

Adjacent sequences: A237953 A237954 A237955 * A237957 A237958 A237959

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2014

Status

approved