A204800 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing

16, 47, 47, 125, 240, 125, 335, 1001, 1001, 335, 907, 4273, 6537, 4273, 907, 2470, 18550, 42214, 42214, 18550, 2470, 6740, 81009, 270148, 422426, 270148, 81009, 6740, 18406, 353975, 1729515, 4122638, 4122638, 1729515, 353975, 18406, 50278, 1547377

Offset

1,1

Comments

Table starts

....16......47......125........335..........907...........2470............6740

....47.....240.....1001.......4273........18550..........81009..........353975

...125....1001.....6537......42214.......270148........1729515........11096511

...335....4273....42214.....422426......4122638.......40446826.......398104735

...907...18550...270148....4122638.....60519533......897624021.....13302221086

..2470...81009..1729515...40446826....897624021....20321241222....457771763592

..6740..353975.11096511..398104735..13302221086...457771763592..15605413576718

.18406.1547377.71369791.3932835872.197792658833.10349816580258.534307699718747

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Example

Some solutions for n=4 k=3
..1..0..0..0....1..1..0..0....1..0..0..1....1..1..1..0....1..0..1..1
..1..0..1..1....1..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..1....0..1..0..0....0..1..1..1....0..1..1..0
..0..1..1..0....0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..1..1..1....0..1..0..1....0..0..1..1....1..0..1..1....1..1..1..1

Crossrefs

Column 1 is A204609

Sequence in context: A253231 A253350 A204616 * A194268 A292171 A204609

Adjacent sequences: A204797 A204798 A204799 * A204801 A204802 A204803

Keyword

nonn,tabl

Author

R. H. Hardin Jan 19 2012

Status

approved