A200553 - OEIS

%I #5 Mar 31 2012 12:36:39

%S 4,14,14,30,76,26,52,200,280,72,80,446,1184,1240,142,114,836,3396,

%T 7254,4978,362,154,1368,7778,26850,43698,21626,778,200,2134,15476,

%U 75792,211374,266812,91058,1938,252,3140,27806,178834,737460,1689732,1639804

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

%C Table starts

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

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

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

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

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

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

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

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

%C ..4366.1686980..63132188..893510530..7258296910..40950125796..178893425570

%C .10628.7309386.394016210.7288331916.73127883596.491063998130.2488110363432

%H R. H. Hardin, <a href="/A200553/b200553.txt">Table of n, a(n) for n = 1..715</a>

%e Some solutions for n=4 k=3

%e ..1....1...-1....1...-1...-3...-1...-1....2....3....3...-3...-2....1....0...-3

%e ..1...-1...-3...-2....1...-3...-3....1...-3....2...-2....2....1...-1....0....3

%e .-1...-2....3....3....0....0....2....2....1...-3....0....2....1....0....2....2

%e ..0....2...-3...-1....0....0....1....2...-2...-3...-3...-2....2...-2...-3...-2

%e .-3...-3....1...-3...-2....3....2...-3....3....0...-1...-1...-3....1....1....0

%e ..2....3....3....2....2....3...-1...-1...-1....1....3....2....1....1....0....0

%Y Row 1 is A049451

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 19 2011