A200553 T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences.

4, 14, 14, 30, 76, 26, 52, 200, 280, 72, 80, 446, 1184, 1240, 142, 114, 836, 3396, 7254, 4978, 362, 154, 1368, 7778, 26850, 43698, 21626, 778, 200, 2134, 15476, 75792, 211374, 266812, 91058, 1938, 252, 3140, 27806, 178834, 737460, 1689732, 1639804

Offset: 1

Author

R. H. Hardin Nov 19 2011

Keywords

• nonn
• tabl

Comments

Table starts

.....4......14........30.........52..........80..........114...........154

....14......76.......200........446.........836.........1368..........2134

....26.....280......1184.......3396........7778........15476.........27806

....72....1240......7254......26850.......75792.......178834........372150

...142....4978.....43698.....211374......737460......2076774.......5012084

...362...21626....266812....1689732.....7286542.....24378976......68263780

...778...91058...1639804...13587804....72366820....288237528.....936121220

..1938..393660..10152636..109957140...723237026...3427837106...12911643944

..4366.1686980..63132188..893510530..7258296910..40950125796..178893425570

.10628.7309386.394016210.7288331916.73127883596.491063998130.2488110363432

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..715

Crossrefs

Row 1 is A049451