A236780 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock

81, 474, 474, 2797, 4170, 2797, 16360, 36260, 36260, 16360, 95961, 315666, 471689, 315666, 95961, 562284, 2750070, 6140316, 6140316, 2750070, 562284, 3296708, 24023328, 80610053, 121728522, 80610053, 24023328, 3296708, 19317952

Offset

1,1

Comments

Table starts

........81.........474.........2797........16360.........95961........562284

.......474........4170........36260.......315666.......2750070......24023328

......2797.......36260.......471689......6140316......80610053....1058879504

.....16360......315666......6140316....121728522....2437062052...49038860968

.....95961.....2750070.....80610053...2437062052...75317723364.2336323498652

....562284....24023328...1058879504..49038860968.2336323498652

...3296708...209304200..13857495596.976380249206

..19317952..1823484380.181102978376

.113216324.15890176976

.663531280

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

k=2: [order 62]

Example

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

Crossrefs

Sequence in context: A253517 A237683 A236640 * A237678 A236635 A236775

Adjacent sequences: A236777 A236778 A236779 * A236781 A236782 A236783

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved