A188214 Number of nondecreasing arrangements of 8 numbers in -(n+6)..(n+6) with sum zero

8512, 17575, 33885, 61731, 107233, 178870, 288100, 450096, 684572, 1016737, 1478379, 2109067, 2957499, 4083008, 5557206, 7465798, 9910578, 13011585, 16909449, 21767949, 27776747, 35154340, 44151244, 55053378, 68185688, 83916031

Offset

1,1

Comments

Row 8 of A188211

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)-3*a(n-4)+4*a(n-5)-3*a(n-8)+3*a(n-9)-a(n-11)-a(n-12)+3*a(n-14)-3*a(n-15)+4*a(n-18)-3*a(n-19)-2*a(n-21)+3*a(n-22)-a(n-23)

Example

Some solutions for n=3
.-6...-9...-8...-2...-9...-6...-9...-9...-8...-7...-9...-6...-9...-8...-6...-9
.-3...-8...-6...-2...-5...-5...-6...-6...-5...-5...-3...-6...-4...-8...-6...-3
.-3...-3...-3...-1...-1...-5...-4...-4...-4...-5...-3...-5...-1...-5...-3...-3
.-3...-2...-3...-1....2...-2...-1...-1...-4...-5....0....0...-1...-1....0...-2
.-2....2...-1....0....2....0....0....2....0....2....1....0...-1....1....2...-1
..3....6....6....1....2....0....3....5....5....4....1....2....0....5....2....1
..6....7....7....2....4....9....8....6....7....7....5....7....7....7....3....8
..8....7....8....3....5....9....9....7....9....9....8....8....9....9....8....9

Crossrefs

Sequence in context: A253453 A348605 A260988 * A252810 A202986 A297896

Adjacent sequences: A188211 A188212 A188213 * A188215 A188216 A188217

Keyword

nonn

Author

R. H. Hardin Mar 24 2011

Status

approved