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

Author

R. H. Hardin, Dec 03 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A002623(n+1)