A235582 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

256, 2896, 2896, 29902, 100653, 29902, 283672, 3187679, 3187679, 283672, 2573798, 88558785, 344369103, 88558785, 2573798, 22515040, 2266703217, 32581688349, 32581688349, 2266703217, 22515040, 192101098, 53743314489, 2793785197645

Offset

1,1

Comments

Table starts

........256..........2896...........29902...........283672..........2573798

.......2896........100653.........3187679.........88558785.......2266703217

......29902.......3187679.......344369103......32581688349....2793785197645

.....283672......88558785.....32581688349...11225929365891.3554451567473769

....2573798....2266703217...2793785197645.3554451567473769

...22515040...53743314489.214261916260111

..192101098.1204872525582

.1606970816

Links

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

Formula

Empirical for column 1: [linear recurrence of order 29]

Example

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

Crossrefs

Sequence in context: A235577 A235574 A235824 * A236657 A235579 A236654

Adjacent sequences: A235579 A235580 A235581 * A235583 A235584 A235585

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved