A236041 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the upper median and the lower median in each 2X2 subblock

256, 2404, 2404, 22994, 42264, 22994, 218568, 722548, 722548, 218568, 2089160, 12435076, 21941716, 12435076, 2089160, 19942272, 215833320, 674450852, 674450852, 215833320, 19942272, 190367530, 3742165712, 21249328546

Offset

1,1

Comments

Table starts

........256........2404........22994........218568.......2089160

.......2404.......42264.......722548......12435076.....215833320

......22994......722548.....21941716.....674450852...21249328546

.....218568....12435076....674450852...38512116748.2269448820024

....2089160...215833320..21249328546.2269448820024

...19942272..3742165712.666177945884

..190367530.64753334132

.1816294128

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

k=2: [order 87]

Example

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

Crossrefs

Sequence in context: A204303 A236083 A016780 * A236037 A251120 A251114

Adjacent sequences: A236038 A236039 A236040 * A236042 A236043 A236044

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2014

Status

approved