A084555 Partial sums of A084556.

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, (A130664(n),a(n)) = (1,1),(2,3),(4,5),(6,8),(9,11),(12,14),... gives the starting and ending offsets of the n-th permutation in the sequences like A030298 & A030496.

Note: this sequence is related to (ordinary) permutations. For a similar sequence related to juggling with three objects, see A084505.

Links

• A. Karttunen, Table of n, a(n) for n = 0..5614
• Index entries for sequences related to permutations

Crossrefs

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

Programs

Mathematica

Accumulate@ Flatten[ Table[#, {#!}] & /@ Range[0, 5]]

Formula

a(0)=0; for n >= 1, a(n) = a(n-1) + A084556(n). Also a(n) = A130664(n+1) - 1. - Antti Karttunen, Dec 18 2012

Extensions

Moved the misplaced Mathematica code from A084505. - Antti Karttunen, Oct 24 2012