A228263 Number of third differences of arrays of length 7 of numbers in 0..n.

127, 2059, 13933, 53315, 141989, 310425, 596591, 1045439, 1707409, 2640285, 3910211, 5589739, 7758477, 10503089, 13917295, 18101871, 23164649, 29220517, 36391419, 44806355, 54601381, 65919609, 78911207, 93733399, 110550465

Offset

1,1

Comments

Row 4 of A228260

Links

R. H. Hardin, Table of n, a(n) for n = 1..57

Formula

Empirical: a(n) = 294*n^4 - 256*n^3 - 489*n^2 + 477*n + 415 for n>8

Example

Some solutions for n=4
..6....3...-1....7....5....4....3...-1...15...-5...13....9...-2...10....0...14
.-9...-5....0..-13...-8...-4...-6...-1..-16....3...-4...-4...-4..-15....0..-12
..7....4....4...11....0....0....8....0...16...-1...-2....2....4...13....1...10
..0....2...-4...-7....7....2...-9....0..-16....6...-4...-1...-3...-3...-3..-11

Crossrefs

Sequence in context: A258005 A258015 A181126 * A228222 A022523 A090029

Adjacent sequences: A228260 A228261 A228262 * A228264 A228265 A228266

Keyword

nonn

Author

R. H. Hardin Aug 19 2013

Status

approved