A235833 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

81, 549, 549, 3459, 8160, 3459, 20537, 112146, 110923, 20537, 118383, 1403872, 3294824, 1378463, 118383, 668041, 16791083, 87473420, 87276535, 16385455, 668041, 3720671, 193298612, 2193348247, 4948377018, 2183863895, 187651928

Offset

1,1

Comments

Table starts

........81..........549...........3459...........20537...........118383

.......549.........8160.........112146.........1403872.........16791083

......3459.......110923........3294824........87473420.......2193348247

.....20537......1378463.......87276535......4948377018.....265469754317

....118383.....16385455.....2183863895....264596677243...30753132992706

....668041....187651928....51823058334..13346776888685.3381137131414373

...3720671...2100282123..1185755777410.644799592944959

..20536617..23113626964.26334832022372

.112678583.251566008413

.615713801

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 84]

Empirical for row n:

n=1: [linear recurrence of order 14]

n=2: [order 84]

Example

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

Crossrefs

Column 1 and row 1 are A235584

Sequence in context: A253468 A253462 A206512 * A235588 A206505 A235584

Adjacent sequences: A235830 A235831 A235832 * A235834 A235835 A235836

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved