A237398 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal

256, 1314, 1314, 7172, 11988, 7172, 41062, 114034, 114034, 41062, 239176, 1153778, 1794402, 1153778, 239176, 1413864, 11725568, 30590608, 30590608, 11725568, 1413864, 8412540, 121195320, 514064312, 902019154, 514064312, 121195320

Offset

1,1

Comments

Table starts

.......256.........1314...........7172.............41062..............239176

......1314........11988.........114034...........1153778............11725568

......7172.......114034........1794402..........30590608...........514064312

.....41062......1153778.......30590608.........902019154.........25829139276

....239176.....11725568......514064312.......25829139276.......1235023110530

...1413864....121195320.....8872195706......769041196608......62405831529234

...8412540...1254144270...152180119484....22613650645686....3084781518411320

..50339772..13055041806..2639996468928...676946049444764..156724811087291634

.302048100.135960274878.45688402987094.20153268873982042.7881021180947620852

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: [linear recurrence of order 38]

k=2: [order 97]

Example

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

Crossrefs

Sequence in context: A237235 A129539 A113877 * A237392 A205097 A205090

Adjacent sequences: A237395 A237396 A237397 * A237399 A237400 A237401

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved