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

1,1

Comments

Row 4 of A200443.

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).

Example

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

Crossrefs

Sequence in context: A113444 A228669 A308020 * A307972 A346074 A211697

Adjacent sequences: A200441 A200442 A200443 * A200445 A200446 A200447

Keyword

nonn

Author

R. H. Hardin, Nov 18 2011

Status

approved