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A200196 Number of -n..n arrays x(0..6) of 7 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing 1
0, 104, 1534, 9856, 40632, 127800, 334278, 765598, 1585416, 3034396, 5450616, 9293800, 15170448, 23863548, 36362438, 53897896, 77976766, 110422568, 153414642, 209534448, 281809258, 373763982, 489469484, 633600106, 811486280 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Row 7 of A200192
LINKS
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=5
.-3....1...-2....0...-2...-3....0...-1....3...-1...-1...-1....2...-4...-5...-2
..2...-1....0....3....5....4....3...-3...-1....4....1...-4....4....0....0...-5
.-5....4...-2...-4...-4...-4...-3....4....2...-4...-4....3...-4...-3...-2....3
..3...-4....5....5....1....5....1...-1...-3....4....3...-2...-1....5....3....1
.-3....2...-5...-5...-1...-2...-2....3....1...-3...-4....4...-4....1...-1....4
..5...-2....3....5....2....5....2...-2...-4....5....4...-5....4....3....4...-3
..1....0....1...-4...-1...-5...-1....0....2...-5....1....5...-1...-2....1....2
CROSSREFS
Sequence in context: A340898 A132434 A187589 * A234219 A223420 A250325
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 14 2011
STATUS
approved

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Last modified June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)