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

1,1

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

Links

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

Example

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

Crossrefs

Row 1 is A049451

Sequence in context: A170847 A168420 A189814 * A229392 A229320 A127302

Adjacent sequences: A200550 A200551 A200552 * A200554 A200555 A200556

Keyword

nonn,tabl

Author

R. H. Hardin Nov 19 2011

Status

approved