A202962 T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value.

2, 6, 4, 20, 28, 2, 36, 108, 82, 0, 62, 268, 414, 200, 6, 90, 544, 1562, 1936, 524, 12, 128, 972, 4048, 9884, 9872, 1724, 6, 168, 1576, 9010, 33736, 66208, 47732, 5908, 0, 218, 2392, 17296, 90604, 289536, 447528, 229714, 18340, 20, 270, 3456, 30648, 207184

Offset

1,1

Comments

Table starts

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

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

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

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

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

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

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

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

.20..53680..5624396.139027620..1602929218..11493823804..59791891464

.40.162080.27808428.950710524.13990833912.122199247152.749603860520

Links

R. H. Hardin, Table of n, a(n) for n = 1..9784

Example

Some solutions for n=5 k=3
..1....2....2....0...-1...-3....0....1....1....2....1....0...-3....1....2....2
.-3...-3....0...-3....0...-2....2...-3....0....3....3....1....1...-2....0...-3
..0...-1...-1...-1...-1....0...-1...-1...-1....2...-1....2....3...-1...-1....0
.-1....0....3....0....2....2....0...-3...-2...-3....2...-3...-1...-3....0....1
..2...-2...-2....3...-3....1...-3....1....3...-1...-3....2....2....2....1....2
..3....1...-3....1....2....2...-1....2...-1...-3...-2...-3....0....1...-2....1
.-2....3....1....0....1....0....3....3....0....0....0....1...-2....2....0...-3

Crossrefs

Column 1 is A202069

Sequence in context: A112326 A075435 A069875 * A392466 A019088 A096085

Adjacent sequences: A202959 A202960 A202961 * A202963 A202964 A202965

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2011

Status

approved