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A202962
T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value
14
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
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 * A019088 A096085 A305745
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 26 2011
STATUS
approved