A233062 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing

7, 13, 16, 22, 47, 33, 34, 130, 161, 66, 50, 319, 723, 564, 132, 70, 755, 2875, 4393, 1933, 265, 95, 1680, 10650, 30692, 26819, 6529, 530, 125, 3673, 36674, 197625, 334580, 162916, 21904, 1052, 161, 7751, 119979, 1180594, 3849923, 3654675, 986252, 72710

Offset

1,1

Comments

Table starts

....7.....13........22.........34..........50..........70..........95

...16.....47.......130........319.........755........1680........3673

...33....161.......723.......2875.......10650.......36674......119979

...66....564......4393......30692......197625.....1180594.....6637131

..132...1933.....26819.....334580.....3849923....41069900...410815334

..265...6529....162916....3654675....76267521..1476777204.26815913185

..530..21904....986252...39886178..1522090763.53995730752

.1052..72710...5942365..433495407.30425555678

.2092.238992..35694392.4690717033

.4183.781279.213988742

Links

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

Example

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

Crossrefs

Row 1 is A002623(n+1)

Sequence in context: A233747 A279831 A102797 * A205686 A072459 A158813

Adjacent sequences: A233059 A233060 A233061 * A233063 A233064 A233065

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2013

Status

approved