A237694 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal

256, 1120, 1120, 5038, 6964, 5038, 23838, 44648, 44648, 23838, 115028, 305054, 408824, 305054, 115028, 567446, 2123660, 4021892, 4021892, 2123660, 567446, 2840760, 15253914, 40288632, 57342898, 40288632, 15253914, 2840760, 14437142

Offset

1,1

Comments

Table starts

.......256........1120..........5038..........23838..........115028

......1120........6964.........44648.........305054.........2123660

......5038.......44648........408824........4021892........40288632

.....23838......305054.......4021892.......57342898.......832743124

....115028.....2123660......40288632......832743124.....17532208572

....567446....15253914.....418287818....12585917094....385376900438

...2840760...111492872....4418514021...194171070966...8672245375519

..14437142...834134686...47970957966..3092262164912.202110825015400

..74266834..6338273516..529234228994.50231979219254

.386657722.49073750056.5972920589738

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 34]

Example

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

Crossrefs

Sequence in context: A206198 A237218 A237212 * A237688 A237299 A237293

Adjacent sequences: A237691 A237692 A237693 * A237695 A237696 A237697

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2014

Status

approved