A254361 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2868, 2868, 15051, 21530, 15051, 72939, 155358, 155358, 72939, 332330, 998646, 1644606, 998646, 332330, 1451174, 5989018, 14816409, 14816409, 5989018, 1451174, 6117882, 34611365, 121121672, 179564001, 121121672, 34611365, 6117882

Offset

1,1

Comments

Table starts

.......512........2868.........15051...........72939............332330

......2868.......21530........155358..........998646...........5989018

.....15051......155358.......1644606........14816409.........121121672

.....72939......998646......14816409.......179564001........1960008103

....332330.....5989018.....121121672......1960008103.......28647631972

...1451174....34611365.....950695191.....20623554260......404664551769

...6117882...194880155....7242659832....209075168007.....5503997022610

..25078442..1079370642...54039599389...2066266192012....73077411194357

.100521610..5917060764..398187593710..20125123063477...956748934835032

.395707664.32220109124.2910414937365.194086990444845.12412411293412166

Links

R. H. Hardin, Table of n, a(n) for n = 1..263

Formula

Empirical for column k:

k=1: [linear recurrence of order 26] for n>27

k=2: [order 49] for n>55

k=3: [order 66] for n>81

Example

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

Crossrefs

Sequence in context: A254743 A254736 A254586 * A254354 A254189 A253801

Adjacent sequences: A254358 A254359 A254360 * A254362 A254363 A254364

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2015

Status

approved