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A321419 Number of n element multisets of the 30th roots of unity with zero sum. 2
1, 0, 15, 10, 120, 156, 760, 1350, 4350, 8770, 22896, 47610, 110110, 226260, 483180, 964696 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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.

LINKS

Table of n, a(n) for n=0..15.

CROSSREFS

Column k=15 of A321414.

Cf. A321418.

Sequence in context: A215236 A040212 A299316 * A013379 A013449 A013461

Adjacent sequences:  A321416 A321417 A321418 * A321420 A321421 A321422

KEYWORD

nonn,more

AUTHOR

Andrew Howroyd, Nov 09 2018

STATUS

approved

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Last modified April 13 07:51 EDT 2021. Contains 342935 sequences. (Running on oeis4.)