A193702 T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a subsequence of length 1, 2 or 3 with sum zero.

1, 1, 3, 1, 5, 9, 1, 7, 23, 23, 1, 9, 43, 83, 57, 1, 11, 69, 181, 299, 141, 1, 13, 101, 317, 827, 1081, 351, 1, 15, 139, 491, 1741, 3773, 3931, 875, 1, 17, 183, 703, 3141, 9385, 17197, 14293, 2181, 1, 19, 233, 953, 5127, 19301, 50035, 78407, 51955, 5435, 1, 21, 289, 1241

Offset: 1

Author

R. H. Hardin Aug 02 2011

Keywords

• nonn
• tabl

Comments

Table starts

....1......1.......1.......1........1........1.........1.........1.........1

....3......5.......7.......9.......11.......13........15........17........19

....9.....23......43......69......101......139.......183.......233.......289

...23.....83.....181.....317......491......703.......953......1241......1567

...57....299.....827....1741.....3141.....5127......7799.....11257.....15601

..141...1081....3773....9385....19301....35121.....58661.....91953....137245

..351...3931...17197...50035...115761...231121....416291....694877...1093915

..875..14293...78407..268453...706591..1571745...3109443...5641657...9576643

.2181..51955..357403.1438203..4292223.10581553..22837977..44687885..81096625

.5435.188859.1629369.7705011.26065517.71181241.167468295.352989885.683733847

Examples

			Some solutions for n=7 k=6
.-2...-5...-3...-4...-1...-1...-4...-3...-3...-3...-5...-2...-2...-4...-5...-3
..0....5....3....4....3....1....4...-1....4...-1....1....4....0....6....5....3
..2...-5....1...-2...-2....0....5....4...-1....4....4...-2....2...-2....0....6
..1....2....2....2...-6...-1...-6....0....1...-3...-3...-2...-5....2...-5...-6
.-3...-2...-3...-2....6...-5....1...-1...-2....2...-2...-2....5...-4....5....3
..5....6....0....2...-6....6....3....4....1...-6....5....4....3....4...-2...-5
.-5...-4....0...-2....0...-6...-3...-3....0....4...-3....0...-3...-4...-3....2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1738