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A199704
T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two neighbors equal
13
1, 1, 2, 1, 4, 6, 1, 6, 14, 8, 1, 8, 32, 52, 14, 1, 10, 52, 168, 200, 32, 1, 12, 82, 380, 892, 708, 56, 1, 14, 114, 724, 2734, 4964, 2642, 100, 1, 16, 156, 1236, 6504, 20116, 27854, 10000, 204, 1, 18, 200, 1940, 13324, 59992, 149942, 156920, 37984, 388, 1, 20, 254
OFFSET
1,3
COMMENTS
Table starts
...1......1.......1........1.........1..........1..........1...........1
...2......4.......6........8........10.........12.........14..........16
...6.....14......32.......52........82........114........156.........200
...8.....52.....168......380.......724.......1236.......1940........2872
..14....200.....892.....2734......6504......13324......24394.......41344
..32....708....4964....20116.....59992.....147072.....314532......608420
..56...2642...27854...149942....559028....1643204....4099204.....9059092
.100..10000..156920..1128388...5252900...18527516...53901956...136128432
.204..37984..891684..8545180..49700882..210316392..713719390..2059733054
.388.144876.5095360.65055556.472873888.2400684208.9503449352.31340655728
LINKS
EXAMPLE
Some solutions for n=6 k=5
..0....5....1...-4...-2....1...-1...-5....4....0....3....0....2....2...-5...-1
..5...-1....0....5...-5...-1...-2....4...-1....2...-1....4....3...-3....0....3
.-1...-3...-1....3....4....0...-5....2...-5...-1...-5....3...-4....4...-3....1
.-5...-5....3...-5...-4....1....0...-5....3....0....3...-1...-1...-3....5....4
..4....4....0....0....2....2....3...-1....1....1....2...-2...-3...-5....0...-5
.-3....0...-3....1....5...-3....5....5...-2...-2...-2...-4....3....5....3...-2
CROSSREFS
Sequence in context: A199909 A033884 A208915 * A062344 A208759 A033877
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 09 2011
STATUS
approved