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

Author

R. H. Hardin Dec 26 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A202069