A183413 - OEIS

A183413

T(n,k)=Number of nXk binary arrays with each sum of a(1..i,1..j) no greater than i*j/2 and rows and columns in nondecreasing order

1, 2, 2, 2, 5, 2, 3, 8, 8, 3, 3, 15, 22, 15, 3, 4, 21, 75, 75, 21, 4, 4, 34, 152, 380, 152, 34, 4, 5, 44, 410, 1518, 1518, 410, 44, 5, 5, 65, 719, 6450, 11499, 6450, 719, 65, 5, 6, 80, 1632, 20066, 98343, 98343, 20066, 1632, 80, 6, 6, 111, 2564, 69431, 556989, 1497764

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Table starts

.1...2....2......3........3...........4............4............5............5

.2...5....8.....15.......21..........34...........44...........65...........80

.2...8...22.....75......152.........410..........719.........1632.........2564

.3..15...75....380.....1518........6450........20066........69431.......178672

.3..21..152...1518....11499.......98343.......556989......3662106.....16124119

.4..34..410...6450....98343.....1497764.....17507704....208323889...1832450809

.4..44..719..20066...556989....17507704....408834576..10087837825.175291717602

.5..65.1632..69431..3662106...208323889..10087837825.475512062908

.5..80.2564.178672.16124119..1832450809.175291717602

.6.111.5130.525241.85225430.17253002617

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for 5X4

..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1

..0..0..1..0....0..0..0..1....0..0..0..1....0..0..1..0....0..0..1..1

..0..0..1..1....0..0..0..1....0..0..1..1....0..0..1..0....0..1..0..0

..0..1..0..0....0..1..1..0....0..1..0..0....0..1..0..0....1..0..1..0

..0..1..1..1....1..0..0..1....0..1..0..0....1..0..0..0....1..1..0..1

CROSSREFS

Sequence in context: A226525 A120642 A216624 * A183380 A260587 A095370

Adjacent sequences: A183410 A183411 A183412 * A183414 A183415 A183416

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved