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A202033
T(n,k)=Number of nXk zero-sum -1..1 arrays with rows and columns lexicographically nondecreasing
8
1, 2, 2, 2, 7, 2, 3, 21, 21, 3, 3, 56, 181, 56, 3, 4, 130, 1341, 1341, 130, 4, 4, 281, 8312, 29363, 8312, 281, 4, 5, 555, 44300, 537572, 537572, 44300, 555, 5, 5, 1034, 207562, 8249505, 29859761, 8249505, 207562, 1034, 5, 6, 1827, 872998, 108479344
OFFSET
1,2
COMMENTS
Table starts
.1....2........2............3................3..................4
.2....7.......21...........56..............130................281
.2...21......181.........1341.............8312..............44300
.3...56.....1341........29363...........537572............8249505
.3..130.....8312.......537572.........29859761.........1387552127
.4..281....44300......8249505.......1387552127.......197324899476
.4..555...207562....108479344......54711391946.....23770010642604
.5.1034...872998...1248911674....1867753201968...2467219447235558
.5.1827..3348194..12812139620...56202066220732.224555987749683857
.6.3090.11857834.118772002152.1512619583145180
LINKS
EXAMPLE
Some solutions for n=2 k=7
.-1..0..0..0..0..1..1...-1.-1.-1..0..1..1..1...-1.-1..0..0..0..0..1
..0.-1.-1.-1..0..1..1....0..0..1..0.-1..0..0....0..1.-1..0..0..0..1
CROSSREFS
Sequence in context: A021453 A053789 A115596 * A340742 A029610 A279967
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 09 2011
STATUS
approved