A228264 Number of third differences of arrays of length 8 of numbers in 0..n.

255, 6305, 58911, 315601, 1161855, 3298681, 7795501, 16171769, 30424997, 53235009, 87985685, 138831929, 210793509, 309786737, 442759141, 617796857, 844148261, 1132324321, 1494179237, 1942991081, 2493542437, 3162201041

Offset

1,1

Comments

Row 5 of A228260

Links

R. H. Hardin, Table of n, a(n) for n = 1..30

Formula

Empirical: a(n) = 672*n^5 - 1152*n^4 - 3340*n^3 + 8908*n^2 + 4108*n - 14279 for n>13

Example

Some solutions for n=4
.-2..-12..-12...-4...-4...-6....6...-4...-4....4...-8...-6...-6..-10...-2...-6
.-6...12...10....9....6....2...-6....0...-3...-4...-2....4....5....5....7...14
..8...-9...-6...-6...-3....1....6....4....4...-5....7....0...-5....6...-1..-12
.-4....0....3....4...-4....4...-6...-2....4....8...-4...-4....4..-13...-5....1
..4....7....0...-9....9..-11...-3....4..-12...-3....5....5...-6...10....2....7

Crossrefs

Sequence in context: A075945 A075941 A181127 * A228223 A022524 A261032

Adjacent sequences: A228261 A228262 A228263 * A228265 A228266 A228267

Keyword

nonn

Author

R. H. Hardin Aug 19 2013

Status

approved