A237082 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock

81, 484, 484, 2928, 4526, 2928, 17644, 42300, 42300, 17644, 106528, 395028, 612776, 395028, 106528, 641736, 3675408, 8844156, 8844156, 3675408, 641736, 3871696, 34334240, 127825204, 199693088, 127825204, 34334240, 3871696, 23356112

Offset

1,1

Comments

Table starts

........81.........484.........2928.........17644........106528........641736

.......484........4526........42300........395028.......3675408......34334240

......2928.......42300.......612776.......8844156.....127825204....1855507536

.....17644......395028......8844156.....199693088....4496960188..102542293272

....106528.....3675408....127825204....4496960188..158494245568.5671827576224

....641736....34334240...1855507536..102542293272.5671827576224

...3871696...320714572..26933704424.2324982572036

..23356112..2993549732.389584703724

.140860224.27915633640

.849369952

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 35]

Example

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

Crossrefs

Sequence in context: A253407 A253400 A250620 * A236651 A295018 A250613

Adjacent sequences: A237079 A237080 A237081 * A237083 A237084 A237085

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2014

Status

approved