A213800 T(n,k)=Number of n X n 0..k symmetric arrays with every row summing to floor(n*k/2).

1, 1, 2, 1, 3, 4, 1, 4, 13, 18, 1, 5, 29, 169, 112, 1, 6, 57, 880, 5673, 1760, 1, 7, 96, 3249, 87932, 526443, 35150, 1, 8, 153, 9522, 815263, 34725760, 133721189, 1944530, 1, 9, 226, 23753, 4843626, 932587453, 46259653191, 95133854529, 133948836, 1, 10, 323

Offset: 1

Author

R. H. Hardin Jun 20 2012

Keywords

• nonn
• tabl

Comments

Table starts

...........1...............1...............1.............1...............1

...........2...............3...............4.............5...............6

...........4..............13..............29............57..............96

..........18.............169.............880..........3249............9522

.........112............5673...........87932........815263.........4843626

........1760..........526443........34725760.....932587453.....13937940952

.......35150.......133721189.....46259653191.4893373431575.212962858290086

.....1944530.....95133854529.250599609089536

...133948836.190409704025737

.26615510712

Examples

			Some solutions for n=4 k=3
..1..1..1..3....1..3..2..0....1..3..0..2....0..1..2..3....2..1..2..1
..1..2..3..0....3..1..0..2....3..3..0..0....1..3..2..0....1..0..2..3
..1..3..0..2....2..0..1..3....0..0..3..3....2..2..1..1....2..2..0..2
..3..0..2..1....0..2..3..1....2..0..3..1....3..0..1..2....1..3..2..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..62