A202126 Number of -n..n arrays of 5 elements with first, second and third differences also in -n..n

27, 293, 1509, 5205, 14063, 32267, 65773, 122709, 213697, 352075, 554381, 840659, 1234569, 1764039, 2461495, 3363883, 4513485, 5958085, 7750859, 9951423, 12625883, 15846605, 19693499, 24253977, 29622535, 35902357, 43205125, 51650425

Offset

1,1

Comments

Row 5 of A202124

Links

R. H. Hardin, Table of n, a(n) for n = 1..195

Formula

Empirical: a(n) = a(n-1) +3*a(n-3) -2*a(n-4) -4*a(n-6) +3*a(n-9) +3*a(n-10) -4*a(n-13) -2*a(n-15) +3*a(n-16) +a(n-18) -a(n-19).

a(n) ~ (44471/16200)*n^5. - Robert Israel, Jun 28 2019

Example

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

Crossrefs

Sequence in context: A251080 A049011 A115246 * A022687 A083813 A086574

Adjacent sequences: A202123 A202124 A202125 * A202127 A202128 A202129

Keyword

nonn

Author

R. H. Hardin Dec 11 2011

Status

approved