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A188336 Number of nondecreasing arrangements of 6 nonzero numbers in -(n+4)..(n+4) with sum zero 1
197, 424, 828, 1488, 2519, 4050, 6252, 9314, 13479, 19008, 26224, 35472, 47169, 61756, 79754, 101712, 128267, 160088, 197940, 242622, 295041, 356138, 426970, 508634, 602351, 709384, 831128, 969024, 1124655, 1299652, 1495796, 1714918 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A188333

LINKS

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

FORMULA

Empirical: a(n)=2*a(n-1)-a(n-3)-a(n-5)+2*a(n-8)-a(n-11)-a(n-13)+2*a(n-15)-a(n-16).

Empirical: G.f. -x*(-197 -30*x +20*x^2 -29*x^3 +33*x^4 -37*x^5 -64*x^6 -157*x^7 +5*x^8 +27*x^9 +84*x^10 +24*x^11 +67*x^12 -46*x^13 -130*x^14 +78*x^15) / ( (1+x+x^2) *(x^4+x^3+x^2+x+1) *(x^2+1) *(1+x)^2 *(x-1)^6 ). - R. J. Mathar, Mar 28 2011

EXAMPLE

Some solutions for n=6

-10..-10...-3...-9...-7...-9...-9...-6...-7...-5...-7...-4...-6...-5...-9...-9

.-4...-6...-2...-3...-6...-1...-9...-6...-5...-4...-3...-3...-2...-5...-8...-7

..1...-1...-2...-1...-2...-1...-4....1...-5...-4...-1...-1...-2...-2...-2....2

..2....5....1...-1....1...-1....4....1....4....2....2....2....3...-2....4....3

..4....5....3....4....4....6....9....4....5....4....4....3....3....6....5....4

..7....7....3...10...10....6....9....6....8....7....5....3....4....8...10....7

CROSSREFS

Sequence in context: A158223 A142503 A142568 * A142230 A142414 A142812

Adjacent sequences:  A188333 A188334 A188335 * A188337 A188338 A188339

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 28 2011

STATUS

approved

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Last modified November 22 08:57 EST 2017. Contains 295076 sequences.