Self-describing sequences [<2n, <3n, <4n, ...]

[Eric Angelini]

> back to the blackboard

... mmmmh, strange, this new (b) seq. fits also the definition :

new (b) 1 3 5 6 8 9  12 14 15 18 19 20 21 23 24 27 28 29 30 33 ...
old (b) 1 3 4 6 9 10 12 13 14 15 18 19 21 24 27 30 31 32 33...

Definituion :

- the nth term of the seq. shows how many terms in the seq.
  are < 3n
  [ex. : the 7th term of the seq. is 12 and there are indeed
   12 terms in (b) which are < 21 (= 3*7) :
                        old (b)   1 3 4 6 9 10 12 13 14 15 18 19  
                        new (b)   1 3 5 6 8 9  12 14 15 18 19 20 ]
Best, 
É.