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URL: https://oeis.org/A238298

⇱ A238298 - OEIS

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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.
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 23 2014
STATUS
approved