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A199900 Number of -n..n arrays x(0..4) of 5 elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative 1
33, 159, 461, 1043, 2031, 3573, 5839, 9021, 13333, 19011, 26313, 35519, 46931, 60873, 77691, 97753, 121449, 149191, 181413, 218571, 261143, 309629, 364551, 426453, 495901, 573483, 659809, 755511, 861243, 977681, 1105523, 1245489, 1398321 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A199898

LINKS

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

FORMULA

Empirical: a(n) = (11/12)*n^4 + (49/6)*n^3 + (193/12)*n^2 + (41/6)*n + 1

EXAMPLE

Some solutions for n=6

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

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

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

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

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

CROSSREFS

Sequence in context: A005904 A207078 A182588 * A086504 A233064 A183776

Adjacent sequences:  A199897 A199898 A199899 * A199901 A199902 A199903

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 11 2011

STATUS

approved

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Last modified February 24 23:02 EST 2018. Contains 299629 sequences. (Running on oeis4.)