A223782 T(n,k) = Number of n X k 0..1 arrays with row sums unimodal and column sums inverted unimodal.

2, 4, 4, 7, 16, 7, 11, 53, 53, 11, 16, 155, 330, 155, 16, 22, 418, 1809, 1809, 418, 22, 29, 1066, 8940, 18368, 8940, 1066, 29, 37, 2611, 41257, 170596, 170596, 41257, 2611, 37, 46, 6205, 180670, 1467585, 2953268, 1467585, 180670, 6205, 46, 56, 14408, 756800

Offset

1,1

Comments

Table starts

..2.....4........7.........11............16.............22..............29

..4....16.......53........155...........418...........1066............2611

..7....53......330.......1809..........8940..........41257..........180670

.11...155.....1809......18368........170596........1467585........11958241

.16...418.....8940.....170596.......2953268.......47578884.......723952524

.22..1066....41257....1467585......47578884.....1441157406.....41206839418

.29..2611...180670...11958241.....723952524....41206839418...2222539839670

.37..6205...756800...93143325...10511594736..1126424633689.114571419281685

.46.14408..3066706..701011531..147010714764.29624137360831

.56.32852.12093628.5122796281.1991930366642

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Column 1 is A000124.

Column 2 is A223711.

Sequence in context: A223637 A223620 A227679 * A223716 A188607 A188851

Adjacent sequences: A223779 A223780 A223781 * A223783 A223784 A223785

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 27 2013

Status

approved