A237299 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal

256, 1128, 1128, 5360, 7544, 5360, 27376, 56752, 56752, 27376, 145488, 471588, 685244, 471588, 145488, 802992, 4167736, 9292680, 9292680, 4167736, 802992, 4552384, 38817072, 134597244, 205544096, 134597244, 38817072, 4552384

Offset

1,1

Comments

Table starts

.......256.........1128............5360.............27376...............145488

......1128.........7544...........56752............471588..............4167736

......5360........56752..........685244...........9292680............134597244

.....27376.......471588.........9292680.........205544096...........4821666340

....145488......4167736.......134597244........4821666340.........181211467948

....802992.....38817072......2051387740......118567856892........7117073796344

...4552384....375021656.....32420171928.....3028672538964......291062464483036

..26458368...3729166264....527547020504....80031975760432....12383494364753228

.156639808..37856371660...8787002245648..2178875438380620...546793895792910920

.942349824.390487433404.149199162038628.60875277529034968.24967144157622737956

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical for column k:

k=1: [linear recurrence of order 21]

k=2: [order 53]

Example

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

Crossrefs

Sequence in context: A237212 A237694 A237688 * A237293 A206118 A206111

Adjacent sequences: A237296 A237297 A237298 * A237300 A237301 A237302

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2014

Status

approved