A203564 T(n,k) = Number of n X k 0..2 arrays with row sums equal and column sums equal.

3, 3, 3, 3, 9, 3, 3, 9, 9, 3, 3, 33, 87, 33, 3, 3, 53, 177, 177, 53, 3, 3, 183, 993, 5673, 993, 183, 3, 3, 395, 10833, 32613, 32613, 10833, 395, 3, 3, 1249, 35619, 513903, 2577513, 513903, 35619, 1249, 3, 3, 3141, 219873, 7343451, 39612503, 39612503, 7343451

Offset: 1

Author

R. H. Hardin, Jan 03 2012

Keywords

• nonn
• tabl

Comments

Table starts:

.3....3.......3..........3...........3............3............3..............3

.3....9.......9.........33..........53..........183..........395...........1249

.3....9......87........177.........993........10833........35619.........219873

.3...33.....177.......5673.......32613.......513903......7343451......185804265

.3...53.....993......32613.....2577513.....39612503...1509893003....59794281893

.3..183...10833.....513903....39612503...8459809773.360255871643.37057831534783

.3..395...35619....7343451..1509893003.360255871643

.3.1249..219873..185804265.59794281893

.3.3141.2083713.1849858773

.3.9459.8710539

Examples

			Some solutions for n=5 and k=3:
..2..2..2....1..2..0....2..1..0....2..1..0....1..2..0....2..1..0....1..2..0
..2..2..2....2..0..1....1..1..1....1..1..1....2..0..1....2..1..0....0..1..2
..2..2..2....0..1..2....2..0..1....1..1..1....0..1..2....0..2..1....1..2..0
..2..2..2....2..0..1....0..2..1....0..2..1....2..0..1....0..1..2....2..0..1
..2..2..2....0..2..1....0..1..2....1..0..2....0..2..1....1..0..2....1..0..2
		

Links

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

Crossrefs

Diagonal is A202779.