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

Author

R. H. Hardin Dec 10 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A152749

Row 2 is A002492