A282719 Numbers of admissible subwords associated with the tribonacci numeration system.

1, 2, 3, 3, 4, 5, 5, 5, 7, 8, 6, 7, 7, 6, 9, 11, 9, 11, 12, 10, 9, 11, 11, 9, 7, 11, 14, 12, 15, 17, 15, 14, 18, 19, 15, 14, 14, 11, 15, 17, 15, 15, 17, 15, 8, 13, 17, 15, 19, 22

Offset

0,2

Links

Table of n, a(n) for n=0..49.

Julien Leroy, Michel Rigo, Manon Stipulanti, Counting the number of non-zero coefficients in rows of generalized Pascal triangles, Discrete Mathematics 340 (2017), 862-881. See Example 43. Also available at Université de Liège.

Example

As Table 6 of Leroy et al. (2107) shows, this sequence may also be presented as an irregular triangle:
1
2 3
3
4 5 5
5 7 8 6 7 7
6 9 11 9 11 12 10 9 11 11 9
7 11 14 12 15 17 15 14 18 19 15 14 14 11 15 17 15 15 17 15
8 13 17 15 19 22
...

Crossrefs

Sequence in context: A324477 A287292 A260717 * A061451 A205542 A086155

Adjacent sequences: A282716 A282717 A282718 * A282720 A282721 A282722

Keyword

nonn,more,tabf

Author

N. J. A. Sloane, Mar 02 2017

Status

approved