A235430 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise

256, 3038, 3038, 33610, 112442, 33610, 344668, 3874844, 3874844, 344668, 3402366, 119751976, 439379938, 119751976, 3402366, 32542312, 3475660106, 44578500538, 44578500538, 3475660106, 32542312, 304784986, 95292647278, 4199042223300

Offset

1,1

Comments

Table starts

........256..........3038...........33610...........344668..........3402366

.......3038........112442.........3874844........119751976.......3475660106

......33610.......3874844.......439379938......44578500538....4199042223300

.....344668.....119751976.....44578500538...15581843596522.5142104597554476

....3402366....3475660106...4199042223300.5142104597554476

...32542312...95292647278.363811777078888

..304784986.2512120106496

.2807381170

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

Example

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

Crossrefs

Sequence in context: A205935 A205928 A235665 * A235426 A236299 A236296

Adjacent sequences: A235427 A235428 A235429 * A235431 A235432 A235433

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved