A084529 Number of 'prime' ground-state 3-ball juggling sequences of period n.

1, 1, 3, 12, 42, 142, 502, 1702, 5878, 19780, 67414

Offset

1,3

Comments

This sequence counts the length n asynchronic site swaps given in A084521/A084522.

A juggling sequence is defined as 'prime', if it does not visit any state more than once. This means that in A084523 no integer occurs twice between consecutive sevens.

References

B. Polster, The Mathematics of Juggling, Springer-Verlag, 2003, pp. 50-51.

Links

Table of n, a(n) for n=1..11.

A. Karttunen, Scheme-program for counting this sequence

Index entries for sequences related to juggling

Crossrefs

First differences of A084528. Cf. A084509, A084519.

Sequence in context: A394490 A135264 A358690 * A017941 A066972 A067819

Adjacent sequences: A084526 A084527 A084528 * A084530 A084531 A084532

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Extensions

a(10)-a(11) from Sean A. Irvine, Apr 21 2026

Status

approved