A235531 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise

81, 498, 498, 2996, 6954, 2996, 15782, 102687, 102687, 15782, 80584, 1241251, 4295649, 1241251, 80584, 388008, 14564613, 140614400, 140614400, 14564613, 388008, 1819537, 152335168, 4492923265, 13038576512, 4492923265, 152335168

Offset

1,1

Comments

Table starts

........81..........498...........2996............15782.............80584

.......498.........6954.........102687..........1241251..........14564613

......2996.......102687........4295649........140614400........4492923265

.....15782......1241251......140614400......13038576512.....1209080327197

.....80584.....14564613.....4492923265....1209080327197...335281754960247

....388008....152335168...120808065816...92361300067563.76271328945497498

...1819537...1529460228..3063485786072.6600170210621221

...8271237..14358083795.69645586587955

..36871545.129965217502

.161304512

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

Example

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

Crossrefs

Sequence in context: A205063 A205057 A235756 * A235527 A297122 A128912

Adjacent sequences: A235528 A235529 A235530 * A235532 A235533 A235534

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2014

Status

approved