A237809 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal

81, 295, 295, 1085, 1775, 1085, 4251, 10433, 10433, 4251, 16837, 65777, 94325, 65777, 16837, 67947, 413659, 932255, 932255, 413659, 67947, 276369, 2653941, 9105033, 14666689, 9105033, 2653941, 276369, 1134515, 17059551, 91394885, 226466977

Offset

1,1

Comments

Table starts

.......81........295.........1085............4251.............16837

......295.......1775........10433...........65777............413659

.....1085......10433........94325..........932255...........9105033

.....4251......65777.......932255........14666689.........226466977

....16837.....413659......9105033.......226466977........5485899329

....67947....2653941.....91394885......3610379651......138098717927

...276369...17059551....915038911.....57208751041.....3440879056209

..1134515..110537541...9256755467....917186234601....86981634666031

..4684181..717782983..93619867803..14670753459691..2188618346093079

.19450171.4679120817.951123379379.235787348326225.55402156423091417

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

k=2: [order 36]

k=3: [order 87]

Example

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

Crossrefs

Sequence in context: A236048 A235954 A235947 * A237802 A237779 A237772

Adjacent sequences: A237806 A237807 A237808 * A237810 A237811 A237812

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2014

Status

approved