A199946 Number of -n..n arrays x(0..4) of 5 elements with zeroth through 4th differences all nonzero

2, 302, 3042, 16114, 55540, 152586, 351148, 721324, 1351980, 2366612, 3910366, 6183420, 9398302, 13840734, 19819666, 27715966, 37936024, 50997474, 67408004, 87815888, 112883696, 143392012, 180139662, 224110176, 276233778, 337668358

Offset

1,1

Comments

Row 5 of A199943

Links

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

Formula

Empirical: a(n) = 2*a(n-3) +a(n-4) +a(n-5) -2*a(n-7) -a(n-8) -3*a(n-9) -2*a(n-11) +2*a(n-12) +a(n-13) +2*a(n-14) +2*a(n-15) +a(n-16) +2*a(n-17) -2*a(n-18) -3*a(n-20) -a(n-21) -2*a(n-22) +a(n-24) +a(n-25) +2*a(n-26) -a(n-29)

Example

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

Crossrefs

Sequence in context: A277126 A273198 A359208 * A142800 A115438 A106718

Adjacent sequences: A199943 A199944 A199945 * A199947 A199948 A199949

Keyword

nonn

Author

R. H. Hardin Nov 12 2011

Status

approved