A188241 Number of nondecreasing arrangements of 8 numbers in -(n+6)..(n+6) with sum zero and not more than two numbers equal

5020, 11376, 23522, 45225, 81981, 141519, 234413, 374820, 581280, 877662, 1294252, 1868927, 2648493, 3690201, 5063359, 6851134, 9152564, 12084676, 15784822, 20413257, 26155829, 33226923, 41872667, 52374270, 65051638, 80267282, 98430368

Offset

1,1

Comments

Row 8 of A188236

Links

R. H. Hardin, Table of n, a(n) for n = 1..175

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=4
.-7..-10..-10..-10..-10...-9...-9..-10...-9...-8...-9..-10...-9...-7...-8...-6
.-6..-10...-7...-5..-10...-8...-8..-10...-6...-8...-5...-6...-8...-4...-8...-5
.-3...-3...-5...-3...-3...-7...-3...-6...-1...-4...-4...-5...-1...-4...-5...-5
.-3....1...-3...-2...-2...-2...-1....1...-1...-1...-1...-2....0...-2...-1...-3
..0....3....4....0...-1....2...-1....2....2....1....0....0....0....2....2....0
..4....3....5....6....6....7....6....6....4....6....5....7....3....2....2....2
..6....6....8....6...10....7....7....7....5....7....5....7....5....5....9....7
..9...10....8....8...10...10....9...10....6....7....9....9...10....8....9...10

Crossrefs

Sequence in context: A252216 A281299 A112139 * A252162 A248986 A013534

Adjacent sequences: A188238 A188239 A188240 * A188242 A188243 A188244

Keyword

nonn

Author

R. H. Hardin Mar 24 2011

Status

approved