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

Eric Angelini Eric.Angelini at kntv.be
Fri Jan 27 11:10:14 CET 2006


Hello Seqfans,

I'm currently computing together with Gilles Sadowski a few
seq. not yet in the OEIS. Are those of interest ? If yes we
will add them next month.

a) 1 2 4 5 6 8 10 11 12 13 14 16 18 20 22 23 24 ...

- the nth term of the seq. shows how many terms in the seq.
  are < 2n
  [ex. : the 8th term of the seq. is 11 and there are indeed
   11 terms in (a) which are < 16 : 1,2,4,5,6,8,10,11,12,13,14]

b) 1 3 4 6 9 10 12 13 14 15 18 19 20 24 27 30 31 32 33...

- the nth term of the seq. shows how many terms in the seq.
  are < 3n
  [ex. : the 8th term of the seq. is 13 and there are indeed
   13 terms in (b) which are < 24 : 1,3,4,6,9,10,12,13,14,15,18,19,20] 

c) ... < 4n
d) ... < 5n
etc.

Best,
É.







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