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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 6
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

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Last modified May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)