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A200553 T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences 14
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 19 2011
STATUS
approved

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Last modified February 21 22:13 EST 2024. Contains 370237 sequences. (Running on oeis4.)