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A203296 Number of arrays of 12 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero 1
7, 28, 176, 944, 4206, 15798, 51768, 151393, 403131, 991692, 2280620, 4948566, 10208256, 20143302, 38215998, 70007951, 124283183, 214475760, 360744276, 592751998, 953388836, 1503671490, 2329136950, 3548069499, 5322005825 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 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) -a(n-5) +3*a(n-6) -a(n-7) +5*a(n-8) -a(n-9) -6*a(n-10) -2*a(n-11) -a(n-12) +a(n-13) +a(n-14) +13*a(n-15) -4*a(n-16) -2*a(n-17) -4*a(n-18) -4*a(n-19) -2*a(n-20) -4*a(n-21) +13*a(n-22) +a(n-23) +a(n-24) -a(n-25) -2*a(n-26) -6*a(n-27) -a(n-28) +5*a(n-29) -a(n-30) +3*a(n-31) -a(n-32) +a(n-33) -3*a(n-34) -a(n-35) +3*a(n-36) -a(n-37)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A026664 A304520 A224663 * A058822 A054369 A185360

Adjacent sequences:  A203293 A203294 A203295 * A203297 A203298 A203299

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 31 2011

STATUS

approved

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Last modified November 21 06:00 EST 2019. Contains 329350 sequences. (Running on oeis4.)