A201496 T(n,k)=Number of nXk zero-sum -2..2 arrays with rows and columns lexicographically nondecreasing.

1, 3, 3, 5, 29, 5, 8, 226, 226, 8, 12, 1454, 9331, 1454, 12, 18, 7815, 301432, 301432, 7815, 18, 24, 36487, 7798656, 50432052, 7798656, 36487, 24, 33, 151593, 168357815, 6697376240, 6697376240, 168357815, 151593, 33, 43, 571539, 3127432827

Offset: 1

Author

R. H. Hardin Dec 02 2011

Keywords

• nonn
• tabl

Comments

Table starts

..1.......3............5................8..................12

..3......29..........226.............1454................7815

..5.....226.........9331...........301432.............7798656

..8....1454.......301432.........50432052..........6697376240

.12....7815......7798656.......6697376240.......4585552158911

.18...36487....168357815.....732383803600....2571822263246639

.24..151593...3127432827...68110029402413.1219998885223727883

.33..571539..51118964623.5516712973977104

.43.1982705.747555368709

.55.6399842

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..71

Crossrefs

Column 1 is A001973