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A200061 Number of -n..n arrays x(0..6) of 7 elements with zero sum and elements alternately strictly increasing and strictly decreasing 1
14, 472, 4224, 20978, 74338, 211242, 514168, 1115572, 2215290, 4099888, 7165376, 11941380, 19119208, 29580842, 44432366, 65037696, 93057524, 130487666, 179703518, 243503094, 325156994, 428455996, 557766736, 718083722, 915090720 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A200057

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) +a(n-6) -2*a(n-7) +2*a(n-8) +a(n-9) -a(n-13) -2*a(n-14) +2*a(n-15) -a(n-16) +a(n-17) +a(n-19) -2*a(n-21) +a(n-22)

EXAMPLE

Some solutions for n=6

..1....4....3...-2....3....6...-3....0...-6...-6...-3....0....4....0...-4....4

.-6....2...-1....0...-6...-6....2....2....6...-4....0...-1....3....4...-6...-6

..6....4....3...-3....2...-2...-4...-4...-4...-5...-6....0....5...-4....6....5

.-6...-6...-1....0...-3...-3....6....6....4....5....5...-3...-6....3....1...-4

..3....0....0...-1....4....6...-5...-5....0....3...-3....5...-4...-6....6....4

..0...-5...-4....6...-6...-3....5....6....1....5....5...-2...-6....4...-4...-5

..2....1....0....0....6....2...-1...-5...-1....2....2....1....4...-1....1....2

CROSSREFS

Sequence in context: A215787 A005790 A208563 * A171208 A331612 A275092

Adjacent sequences:  A200058 A200059 A200060 * A200062 A200063 A200064

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 13 2011

STATUS

approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)