A237067 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal

81, 255, 255, 826, 1101, 826, 2823, 5034, 5034, 2823, 9815, 25451, 32336, 25451, 9815, 34996, 132095, 243256, 243256, 132095, 34996, 125469, 723774, 1812742, 2913981, 1812742, 723774, 125469, 457125, 3983941, 15086720, 33501807, 33501807

Offset

1,1

Comments

Table starts

......81.......255.........826...........2823.............9815

.....255......1101........5034..........25451...........132095

.....826......5034.......32336.........243256..........1812742

....2823.....25451......243256........2913981.........33501807

....9815....132095.....1812742.......33501807........541432879

...34996....723774....15086720......454477716......11326961712

..125469...3983941...119493128.....5566497747.....191474736979

..457125..22797711..1047778362....80054821507....4316927906497

.1664894.129296092..8543176066..1006565794326...74651943281780

.6142099.756671245.77036901078.14930004573317.1774932657426997

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 23]

k=3: [order 64]

Example

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

Crossrefs

Sequence in context: A219131 A236789 A236798 * A236782 A236791 A237060

Adjacent sequences: A237064 A237065 A237066 * A237068 A237069 A237070

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2014

Status

approved