A236828 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal

81, 327, 327, 1386, 2211, 1386, 6093, 15254, 15254, 6093, 27079, 109205, 168564, 109205, 27079, 121590, 786609, 1949236, 1949236, 786609, 121590, 549173, 5747502, 22695802, 36874967, 22695802, 5747502, 549173, 2495215, 42215123, 269108894

Offset

1,1

Comments

Table starts

.......81.........327..........1386.............6093..............27079

......327........2211.........15254...........109205.............786609

.....1386.......15254........168564..........1949236...........22695802

.....6093......109205.......1949236.........36874967..........701424751

....27079......786609......22695802........701424751........21755065689

...121590.....5747502.....269108894......13643698414.......692297987804

...549173....42215123....3207539588.....266389315989.....22074170878628

..2495215...312592339...38599508572....5258599354623....712496076337427

.11389842..2324534826..466275664500..104078580277828..23029391418201045

.52223381.17376767995.5664487537556.2072356525693189.749146158534878661

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 30]

k=3: [order 84]

Example

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

Crossrefs

Sequence in context: A250443 A017162 A250427 * A236821 A237511 A237504

Adjacent sequences: A236825 A236826 A236827 * A236829 A236830 A236831

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved