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A228262 Number of third differences of arrays of length 6 of numbers in 0..n. 1
63, 621, 2511, 6419, 12947, 22727, 36471, 54851, 78539, 108207, 144527, 188171, 239811, 300119, 369767, 449427, 539771, 641471, 755199, 881627, 1021427, 1175271, 1343831, 1527779, 1727787, 1944527, 2178671, 2430891, 2701859, 2992247, 3302727 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 112*n^3 - 34*n^2 - 38*n - 13 for n>4.
Conjectures from Colin Barker, Sep 11 2018: (Start)
G.f.: x*(63 + 369*x + 405*x^2 - 151*x^3 - 84*x^4 + 30*x^5 + 80*x^6 - 40*x^7) / (1 - x)^4.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>8.
(End)
EXAMPLE
Some solutions for n=4:
..2...-9...-2....3....2..-12....7..-16..-10...-5....7....1....0...15...-1....0
..7....4...-5....1...-4...13...-1...12...12....7..-10....5...-5..-10....8...-7
.-8....3....3...-7....2..-14....2...-1..-12..-10....4...-8...11....4...-9....3
CROSSREFS
Row 3 of A228260.
Sequence in context: A217264 A179537 A184448 * A340902 A181125 A228221
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 19 2013
STATUS
approved

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Last modified April 23 01:19 EDT 2024. Contains 371906 sequences. (Running on oeis4.)