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

Author

R. H. Hardin, Nov 13 2011

Keywords

• nonn

Comments

Row 5 of A200181.

Examples

			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
		

Links

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

Crossrefs

Cf. A200181.

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