A163563 n occurs 1+a(n) times starting with a(1)=1.

1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17

Offset

1,3

Comments

Sequence of run length minus 1 gives the original sequence.

References

Y.-F. S. Petermann, J.-L. Remy and I. Vardi, Discrete derivatives of sequences, Adv. in Appl. Math. 27 (2001), 562-84.

Links

Table of n, a(n) for n=1..80.

Formula

There is a formula like the formula for the Golomb's sequence (see ref).

a(n) = A001462(n + 1) - 1. - Alan Michael Gómez Calderón, Aug 12 2025

Example

8 occurs 1+a(8) = 1+4 = 5 times.

Crossrefs

Cf. A001462.

Sequence in context: A103298 A082429 A047744 * A189667 A196390 A054846

Adjacent sequences: A163560 A163561 A163562 * A163564 A163565 A163566

Keyword

nonn

Author

Benoit Cloitre, Jul 30 2009

Status

approved