A232831 - OEIS

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, 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