A235588 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 rowwise and columnwise

81, 549, 549, 3459, 8678, 3459, 20537, 125917, 125917, 20537, 118383, 1660676, 4421414, 1660676, 118383, 668041, 20719004, 140378037, 140378037, 20719004, 668041, 3720671, 246491295, 4163928036, 11284713813, 4163928036, 246491295

Offset

1,1

Comments

Table starts

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

.......549.........8678.........125917..........1660676..........20719004

......3459.......125917........4421414........140378037........4163928036

.....20537......1660676......140378037......11284713813......864122401640

....118383.....20719004.....4163928036.....864122401640...179329543464972

....668041....246491295...114786490439...61249068090242.34988442623259443

...3720671...2840913933..2990032682541.4044723177106236

..20536617..31961677744.74106981549899

.112678583.353604367053

.615713801

Links

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

Formula

Empirical for column 1: [linear recurrence of order 14]

Example

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

Crossrefs

Sequence in context: A253462 A206512 A235833 * A206505 A235584 A231973

Adjacent sequences: A235585 A235586 A235587 * A235589 A235590 A235591

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved