A236719 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays colored with the maximum plus the lower median of every 2 X 2 subblock.

81, 398, 398, 1940, 2262, 1940, 9608, 12276, 12276, 9608, 47952, 68906, 68892, 68906, 47952, 237952, 391672, 380270, 380270, 391672, 237952, 1181504, 2259386, 2285619, 2393308, 2285619, 2259386, 1181504, 5866176, 12874198, 13917166, 15926522

Offset

1,1

Comments

Table starts

........81........398........1940.........9608.........47952.........237952

.......398.......2262.......12276........68906........391672........2259386

......1940......12276.......68892.......380270.......2285619.......13917166

......9608......68906......380270......2393308......15926522......110056116

.....47952.....391672.....2285619.....15926522.....123925495.....1040732508

....237952....2259386....13917166....110056116....1040732508....11313665204

...1181504...12874198....83440732....727209392....8210225326...107996912362

...5866176...73197080...483431170...4738099148...61055186760...964588443772

..29136768..418190364..2925674836..32015122020..491935338326..9640207475306

.144679680.2392155730.17483477028.217298090312.4018284920822.99641407754442

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 16].

k=2: [order 36] for n > 38.

Example

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

Crossrefs

Sequence in context: A237101 A236618 A236611 * A236712 A206542 A206535

Adjacent sequences: A236716 A236717 A236718 * A236720 A236721 A236722

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved