A235577 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

256, 2894, 2894, 28978, 102188, 28978, 268448, 3103656, 3103656, 268448, 2377726, 82875972, 317142694, 82875972, 2377726, 20374112, 2014103692, 28760293894, 28760293894, 2014103692, 20374112, 170668898, 45287503606, 2318212983882

Offset

1,1

Comments

Table starts

........256.........2894...........28978...........268448..........2377726

.......2894.......102188.........3103656.........82875972.......2014103692

......28978......3103656.......317142694......28760293894....2318212983882

.....268448.....82875972.....28760293894....9569624142260.2861670695225974

....2377726...2014103692...2318212983882.2861670695225974

...20374112..45287503606.166487069932858

..170668898.960171131904

.1404828230

Links

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

Formula

Empirical for column 1: [linear recurrence of order 17]

Example

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

Crossrefs

Sequence in context: A236588 A236585 A235818 * A235574 A235824 A235582

Adjacent sequences: A235574 A235575 A235576 * A235578 A235579 A235580

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved