A237340 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal

256, 1980, 1980, 15082, 41220, 15082, 120808, 821234, 821234, 120808, 972356, 17627820, 39609294, 17627820, 972356, 7935194, 380945760, 2137181038, 2137181038, 380945760, 7935194, 65088736, 8406402902, 114598315886

Offset

1,1

Comments

Table starts

.........256.............1980................15082....................120808

........1980............41220...............821234..................17627820

.......15082...........821234.............39609294................2137181038

......120808.........17627820...........2137181038..............300627324700

......972356........380945760.........114598315886............41627000140944

.....7935194.......8406402902........6318680517398..........5948570417327342

....65088736.....187274820848......350887832861914........853258883465178716

...536949612....4212082221444....19674122669454962.....123366442531682683412

..4446049514...95349805566302..1108527743646628762...17883818961748533773410

.36942292664.2169810608997912.62708450627429169774.2598541529967055129095912

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 25]

k=3: [order 59]

Example

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

Crossrefs

Sequence in context: A205370 A205659 A205363 * A237333 A221487 A014711

Adjacent sequences: A237337 A237338 A237339 * A237341 A237342 A237343

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2014

Status

approved