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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 19 08:25 EDT 2019. Contains 323389 sequences. (Running on oeis4.)