A084505 Partial sums of A084506.

0, 1, 3, 5, 8, 11, 14, 17, 20, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249

Offset: 0

Author

Antti Karttunen, Jun 02 2003

Keywords

• nonn

Comments

For n>=1, (a(n-1)+1,a(n)) = (1,1),(2,3),(4,5),(6,8),(9,11),(12,14),... gives the starting and ending offsets of the n-th site swap in the sequence A084501.

Note: this sequence is related to juggling with three objects. For a similar sequence related to (ordinary) permutations, see A084555.

Links

• A. Karttunen, Table of n, a(n) for n = 0..32770
• A. Karttunen, Scheme-program for computing this sequence
• Index entries for sequences related to juggling

Crossrefs

Differs from A084555 first time at the 130th term, where A084505(130) = 605, while A084555(130) = 604.

A084503(a(n)) = 7 for all n. However, this does not give the positions of all 7s in A084503 because the state sequences are not all indecomposable. Cf. A084515, A084525.

Extensions

Added the b-file, moved the misplaced Mathematica code to A084555, where it belongs. - Antti Karttunen, Oct 24 2012