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A232831 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing 7
7, 14, 14, 23, 48, 23, 36, 128, 128, 36, 54, 316, 578, 316, 54, 76, 760, 2329, 2329, 760, 76, 104, 1736, 8898, 16684, 8898, 1736, 104, 138, 3843, 32279, 111870, 111870, 32279, 3843, 138, 179, 8263, 111609, 706823, 1366233, 706823, 111609, 8263, 179, 227 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...7....14......23........36.........54.........76........104..........138

..14....48.....128.......316........760.......1736.......3843.........8263

..23...128.....578......2329.......8898......32279.....111609.......367415

..36...316....2329.....16684.....111870.....706823....4251357.....24298903

..54...760....8898....111870....1366233...15664761..170427953...1758001316

..76..1736...32279....706823...15664761..330749381.6633342932.126048354885

.104..3843..111609...4251357..170427953.6633342932

.138..8263..367415..24298903.1758001316

.179.17414.1156446.132106886

.227.36175.3507097

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A286418 A040042 A233366 * A232877 A232860 A232797

Adjacent sequences:  A232828 A232829 A232830 * A232832 A232833 A232834

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2013

STATUS

approved

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Last modified December 11 21:28 EST 2019. Contains 329937 sequences. (Running on oeis4.)