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Numbers of admissible subwords associated with the tribonacci numeration system.
0

%I #20 Mar 03 2017 20:00:25

%S 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,

%T 17,15,14,18,19,15,14,14,11,15,17,15,15,17,15,8,13,17,15,19,22

%N Numbers of admissible subwords associated with the tribonacci numeration system.

%H Julien Leroy, Michel Rigo, Manon Stipulanti, <a href="http://dx.doi.org/10.1016/j.disc.2017.01.003">Counting the number of non-zero coefficients in rows of generalized Pascal triangles</a>, Discrete Mathematics 340 (2017), 862-881. See Example 43. Also available at <a href="http://hdl.handle.net/2268/205077">Université de Liège</a>.

%e As Table 6 of Leroy et al. (2107) shows, this sequence may also be presented as an irregular triangle:

%e 1

%e 2 3

%e 3

%e 4 5 5

%e 5 7 8 6 7 7

%e 6 9 11 9 11 12 10 9 11 11 9

%e 7 11 14 12 15 17 15 14 18 19 15 14 14 11 15 17 15 15 17 15

%e 8 13 17 15 19 22

%e ...

%K nonn,more,tabf

%O 0,2

%A _N. J. A. Sloane_, Mar 02 2017