A200274 Number of 0..n arrays x(0..6) of 7 elements with zero 4th differences.

2, 5, 8, 13, 18, 37, 64, 97, 140, 207, 286, 399, 528, 687, 878, 1127, 1408, 1749, 2130, 2607, 3128, 3743, 4414, 5191, 6056, 7067, 8156, 9387, 10706, 12241, 13876, 15717, 17670, 19829, 22172, 24787, 27542, 30571, 33752, 37317, 41058, 45153, 49440, 54073

Offset

1,1

Comments

Row 5 of A200272.

Links

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

Formula

Empirical: a(n) = a(n-5) +a(n-9) +a(n-10) -a(n-14) -a(n-15) -a(n-19) +a(n-20) +a(n-24) -a(n-25) -a(n-29) -a(n-30) +a(n-34) +a(n-35) +a(n-36) +a(n-39) -a(n-41) -a(n-44) -a(n-45) -a(n-46) +a(n-50) +a(n-51) +a(n-55) -a(n-56) -a(n-60) +a(n-61) +a(n-65) +a(n-66) -a(n-70) -a(n-71) -a(n-75) +a(n-80).

Example

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

Crossrefs

Cf. A200272.

Sequence in context: A290268 A000982 A289751 * A122221 A083704 A111097

Adjacent sequences: A200271 A200272 A200273 * A200275 A200276 A200277

Keyword

nonn

Author

R. H. Hardin, Nov 15 2011

Status

approved