A238298 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

256, 1836, 1836, 13405, 23854, 13405, 99036, 315906, 315906, 99036, 730412, 4268354, 7627878, 4268354, 730412, 5365422, 57285970, 189073818, 189073818, 57285970, 5365422, 39447709, 765288116, 4621997125, 8714280010, 4621997125

Offset

1,1

Comments

Table starts

.........256..........1836..........13405...........99036...........730412

........1836.........23854.........315906.........4268354.........57285970

.......13405........315906........7627878.......189073818.......4621997125

.......99036.......4268354......189073818......8714280010.....392415712138

......730412......57285970.....4621997125....392415712138...32281789838154

.....5365422.....765288116...112528419472..17607428730016.2648594773768716

....39447709...10243514512..2750034208462.793898547448114

...290457856..137637981750.67554373314860

..2138629508.1846283781696

.15729683540

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 32] for n>33.

Example

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

Crossrefs

Sequence in context: A237905 A238145 A238140 * A238293 A237898 A237891

Adjacent sequences: A238295 A238296 A238297 * A238299 A238300 A238301

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 23 2014

Status

approved