A200183 Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).

2, 12, 15, 24, 31, 48, 53, 74, 83, 108, 119, 148, 159, 196, 209, 246, 263, 308, 323, 372, 391, 444, 465, 522, 543, 608, 631, 696, 723, 796, 821, 898, 927, 1008, 1039, 1124, 1155, 1248, 1281, 1374, 1411, 1512, 1547, 1652, 1691, 1800, 1841, 1954, 1995, 2116, 2159

Offset

1,1

Comments

Row 5 of A200181.

Links

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

Formula

Empirical: a(n) = a(n-2) +a(n-3) +a(n-4) -a(n-5) -a(n-6) -a(n-7) +a(n-9) for n>10.

Empirical g.f.: x*(2 + 12*x + 13*x^2 + 10*x^3 + 2*x^4 - x^5 - 3*x^6 + 2*x^8 + x^9) / ((1 - x)^3*(1 + x)^2*(1 + x^2)*(1 + x + x^2)). - Colin Barker, May 19 2018

Example

Some solutions for n=6:
..0....6....5....5....4....3....0....5....2....2....2....1....2....4....2....6
..1....1...-2....6...-2...-1...-1....6....3....3....3....2...-1....1....3...-1
..2....2...-1...-3...-1....0....0...-4...-1....4...-2...-2....0....2....0....0
.-2...-5....0...-2....0....1....1...-3....0...-5...-1...-1....1...-4....1...-3
.-1...-4...-2...-6...-1...-3....0...-4...-4...-4...-2....0...-2...-3...-6...-2

Crossrefs

Cf. A200181.

Sequence in context: A166745 A352504 A262094 * A118516 A077103 A036499

Adjacent sequences: A200180 A200181 A200182 * A200184 A200185 A200186

Keyword

nonn

Author

R. H. Hardin, Nov 13 2011

Status

approved