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A203294 Number of arrays of 8 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero 1
5, 15, 57, 188, 544, 1380, 3172, 6687, 13163, 24435, 43195, 73194, 119616, 189346, 291486, 437723, 642977, 925889, 1309647, 1822576, 2499166, 3380806, 4517000, 5966265, 7797585, 10091447, 12941561, 16456084, 20759580, 25994452, 32323204 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 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) +7*a(n-6) -3*a(n-7) -2*a(n-8) -2*a(n-9) -3*a(n-10) +7*a(n-11) -3*a(n-14) -a(n-15) +3*a(n-16) -a(n-17)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A165731 A309117 A307349 * A149589 A110614 A149590

Adjacent sequences:  A203291 A203292 A203293 * A203295 A203296 A203297

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 31 2011

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)