A202686 T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums equal

4, 4, 4, 4, 16, 4, 4, 16, 16, 4, 4, 96, 340, 96, 4, 4, 104, 832, 832, 104, 4, 4, 904, 6784, 89520, 6784, 904, 4, 4, 788, 224764, 389704, 389704, 224764, 788, 4, 4, 10448, 496276, 39506424, 290838284, 39506424, 496276, 10448, 4, 4, 6280, 4373632, 235092820

Offset

1,1

Comments

Table starts

.4......4.........4............4..............4..............4..............4

.4.....16........16...........96............104............904............788

.4.....16.......340..........832...........6784.........224764.........496276

.4.....96.......832........89520.........389704.......39506424......235092820

.4....104......6784.......389704......290838284.....1901127404...143872363604

.4....904....224764.....39506424.....1901127404.12092687195284.98588916749684

.4....788....496276....235092820...143872363604.98588916749684

.4..10448...4373632..84143001856.11292985987784

.4...6280.231072928.158178730792

.4.134716.353406676

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Sequence in context: A369719 A369757 A365489 * A134660 A132383 A115639

Adjacent sequences: A202683 A202684 A202685 * A202687 A202688 A202689

Keyword

nonn,tabl

Author

R. H. Hardin Dec 22 2011

Status

approved