A202076 T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and the sum of every adjacent pair being odd

2, 4, 4, 10, 20, 2, 14, 56, 26, 0, 24, 120, 78, 0, 6, 30, 220, 264, 0, 96, 12, 44, 364, 504, 0, 1014, 524, 6, 52, 560, 1128, 0, 3752, 5832, 726, 0, 70, 816, 1786, 0, 15010, 34632, 8412, 0, 20, 80, 1140, 3262, 0, 35604, 142692, 80812, 0, 2760, 40, 102, 1540, 4660, 0, 95342

Offset

1,1

Comments

Table starts

..2.....4.....10.......14........24........30.........44..........52

..4....20.....56......120.......220.......364........560.........816

..2....26.....78......264.......504......1128.......1786........3262

..0.....0......0........0.........0.........0..........0...........0

..6....96...1014.....3752.....15010.....35604......95342......181834

.12...524...5832....34632....142692....462436....1264272.....3044496

..6...726...8412....80812....340660...1516410....4213042....12861252

..0.....0......0........0.........0.........0..........0...........0

.20..2760.118560..1201220..10924220..50331332..241384794...755963886

.40.15560.691352.11395632.105606040.670671976.3259289000.12973320840

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

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

Crossrefs

Row 1 is A152749

Row 2 is A002492

Sequence in context: A118336 A193852 A327544 * A199825 A121049 A056415

Adjacent sequences: A202073 A202074 A202075 * A202077 A202078 A202079

Keyword

nonn,tabl

Author

R. H. Hardin Dec 10 2011

Status

approved