A200157 Number of 0..n arrays x(0..5) of 6 elements with zero 5th difference

8, 39, 112, 275, 730, 1589, 3000, 5181, 8350, 13871, 21588, 32019, 45682, 63225, 88580, 120521, 159996, 208123, 266020, 342493, 433532, 540855, 666180, 811455, 992870, 1201725, 1440468, 1711817, 2018490, 2387707, 2803024, 3268059, 3786430

Offset

1,1

Comments

Row 6 of A200154

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-5) -4*a(n-6) +2*a(n-7) +a(n-10) -2*a(n-11) +a(n-12) -4*a(n-15) +8*a(n-16) -4*a(n-17) +a(n-20) -2*a(n-21) +a(n-22) +2*a(n-25) -4*a(n-26) +2*a(n-27) -a(n-30) +2*a(n-31) -a(n-32)

Example

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

Crossrefs

Sequence in context: A209368 A190097 A245135 * A101374 A163687 A060446

Adjacent sequences: A200154 A200155 A200156 * A200158 A200159 A200160

Keyword

nonn

Author

R. H. Hardin Nov 13 2011

Status

approved