A200444 Number of 0..n arrays x(0..7) of 8 elements with zero 3rd differences.

2, 3, 4, 5, 6, 9, 14, 19, 24, 33, 42, 53, 64, 77, 94, 115, 136, 159, 182, 209, 242, 279, 316, 355, 398, 445, 492, 549, 606, 673, 740, 811, 882, 957, 1042, 1137, 1232, 1331, 1430, 1541, 1652, 1779, 1906, 2037, 2176, 2323, 2470, 2623, 2786, 2961, 3140, 3327, 3514

Offset: 1

Author

R. H. Hardin, Nov 18 2011

Keywords

• nonn

Comments

Row 4 of A200443.

Examples

			Some solutions for n=10
..0....4....6....9....9....0....8....2....2....6....7...10....1....7....8...10
..4....7....6....9....8....3....7....3....5....3....4....6....2....7....5...10
..7....9....6....9....7....5....6....4....7....1....2....3....3....7....3...10
..9...10....6....9....6....6....5....5....8....0....1....1....4....7....2...10
.10...10....6....9....5....6....4....6....8....0....1....0....5....7....2...10
.10....9....6....9....4....5....3....7....7....1....2....0....6....7....3...10
..9....7....6....9....3....3....2....8....5....3....4....1....7....7....5...10
..7....4....6....9....2....0....1....9....2....6....7....3....8....7....8...10
		

Links

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

Formula

Empirical: a(n) = -a(n-3) +a(n-7) +2*a(n-10) +a(n-13) +a(n-15) -a(n-17) +a(n-18) -a(n-20) +a(n-21) -a(n-22) +a(n-24) -2*a(n-25) -2*a(n-28) -2*a(n-31) +a(n-32) -a(n-34) +a(n-35) -a(n-36) +a(n-38) -a(n-39) +a(n-41) +a(n-43) +2*a(n-46) +a(n-49) -a(n-53) -a(n-56).