A204723 T(n,k) = Number of (n+1) X (k+1) 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards.

16, 51, 51, 156, 261, 156, 450, 1271, 1271, 450, 1267, 5821, 9657, 5821, 1267, 3490, 26128, 67518, 67518, 26128, 3490, 9490, 115060, 457635, 727255, 457635, 115060, 9490, 25545, 502546, 2995945, 7549845, 7549845, 2995945, 502546, 25545, 68286

Offset

1,1

Comments

Table starts

....16......51.......156........450.........1267...........3490

....51.....261......1271.......5821........26128.........115060

...156....1271......9657......67518.......457635........2995945

...450....5821.....67518.....727255......7549845.......75805761

..1267...26128....457635....7549845....118449078.....1793675684

..3490..115060...2995945...75805761...1793675684....41246881735

..9490..502546..19292513..748847269..26575441925...924334074451

.25545.2181023.122364692.7296210120.387101009622.20403964857427

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Example

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

Crossrefs

Sequence in context: A121863 A121864 A221485 * A204962 A080860 A204716

Adjacent sequences: A204720 A204721 A204722 * A204724 A204725 A204726

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2012

Status

approved