A321419 Number of n element multisets of the 30th roots of unity with zero sum.

1, 0, 15, 10, 120, 156, 760, 1350, 4350, 8770, 22896, 47610, 110110, 226260, 483180, 964696

Offset: 0

Author

Andrew Howroyd, Nov 09 2018

Keywords

• nonn
• more

Comments

Equivalently, the number of closed convex paths of length n whose steps are the 30th roots of unity up to translation. For even n, there will be 15 paths of zero area consisting of n/2 steps in one direction followed by n/2 steps in the opposite direction.

Crossrefs

Column k=15 of A321414.

Cf. A321418.