A202962 - OEIS

%I #5 Mar 31 2012 12:36:53

%S 2,6,4,20,28,2,36,108,82,0,62,268,414,200,6,90,544,1562,1936,524,12,

%T 128,972,4048,9884,9872,1724,6,168,1576,9010,33736,66208,47732,5908,0,

%U 218,2392,17296,90604,289536,447528,229714,18340,20,270,3456,30648,207184

%N T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value

%C Table starts

%C ..2......6.......20........36..........62...........90..........128

%C ..4.....28......108.......268.........544..........972.........1576

%C ..2.....82......414......1562........4048.........9010........17296

%C ..0....200.....1936......9884.......33736........90604.......207184

%C ..6....524.....9872.....66208......289536.......941086......2537024

%C .12...1724....47732....447528.....2475008......9824176.....31155004

%C ..6...5908...229714...3020170....21274708....102972822....384996502

%C ..0..18340..1134036..20430512...184258272...1085236504...4786979780

%C .20..53680..5624396.139027620..1602929218..11493823804..59791891464

%C .40.162080.27808428.950710524.13990833912.122199247152.749603860520

%H R. H. Hardin, <a href="/A202962/b202962.txt">Table of n, a(n) for n = 1..9784</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

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

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

%Y Column 1 is A202069

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 26 2011