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A203295 Number of arrays of 10 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero 1
6, 21, 104, 444, 1614, 5036, 13934, 34847, 80258, 172405, 349182, 672246, 1238648, 2196082, 3763716, 6258579, 10130162, 16003183, 24731962, 37466168, 55732478, 81531582, 117456262, 166829725, 233871176, 323887385, 443498894, 600898968 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A203291

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +a(n-4) -2*a(n-5) +5*a(n-6) +a(n-7) +a(n-8) -3*a(n-9) -7*a(n-10) +2*a(n-11) +2*a(n-12) +4*a(n-13) +2*a(n-14) +2*a(n-15) -7*a(n-16) -3*a(n-17) +a(n-18) +a(n-19) +5*a(n-20) -2*a(n-21) +a(n-22) -3*a(n-23) -a(n-24) +3*a(n-25) -a(n-26)

EXAMPLE

Some solutions for n=3

.-2...-3...-3...-3...-3...-3...-3...-2...-3...-2...-3...-3...-3...-3...-3...-2

.-2...-3...-3...-2...-2...-2...-3...-2...-3...-1...-3...-3...-1....0...-3...-2

.-2....0...-3...-1...-2...-2...-2...-2...-3...-1...-3...-3...-1....0...-1...-2

.-2....0...-1....0...-1...-1...-2....0...-3...-1...-1....0....0....0...-1...-2

.-2....0...-1....0...-1....0....0....0...-1...-1...-1....0....0....0....0....0

..1....0....1....0....1....0....0....0....1....1....2....0....0....0....0....0

..2....0....1....0....1....2....2....0....3....1....2....0....0....0....1....1

..2....0....3....2....2....2....2....1....3....1....2....3....1....0....1....2

..2....3....3....2....2....2....3....2....3....1....2....3....2....0....3....2

..3....3....3....2....3....2....3....3....3....2....3....3....2....3....3....3

CROSSREFS

Sequence in context: A012773 A012662 A012418 * A083558 A060843 A026650

Adjacent sequences:  A203292 A203293 A203294 * A203296 A203297 A203298

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 31 2011

STATUS

approved

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Last modified February 17 23:47 EST 2018. Contains 299297 sequences. (Running on oeis4.)