A199708 Number of -n..n arrays x(0..5) of 6 elements with zero sum and no two neighbors equal

32, 708, 4964, 20116, 59992, 147072, 314532, 608420, 1089752, 1836600, 2946204, 4537152, 6751384, 9756388, 13747296, 18948952, 25618064, 34045344, 44557532, 57519592, 73336788, 92456792, 115371796, 142620672, 174790996, 212521224

Offset

1,1

Comments

Row 6 of A199704

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=3*a(n-1)-2*a(n-2)-a(n-3)+2*a(n-5)-a(n-6)-a(n-7)+2*a(n-8)-a(n-10)-2*a(n-11)+3*a(n-12)-a(n-13)

Example

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

Crossrefs

Sequence in context: A025008 A020984 A247997 * A264093 A062261 A060624

Adjacent sequences: A199705 A199706 A199707 * A199709 A199710 A199711

Keyword

nonn

Author

R. H. Hardin Nov 09 2011

Status

approved