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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A001973

Sequence in context: A196430 A366594 A265878 * A110426 A200562 A093310

Adjacent sequences: A201493 A201494 A201495 * A201497 A201498 A201499

Keyword

nonn,tabl

Author

R. H. Hardin Dec 02 2011

Status

approved