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

1,1

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

Links

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

Example

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

Crossrefs

Diagonal is A202779.

Sequence in context: A007428 A184099 A074816 * A369716 A365345 A111575

Adjacent sequences: A203561 A203562 A203563 * A203565 A203566 A203567

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 03 2012

Status

approved