Substrings in A046043

Eric Angelini Eric.Angelini at kntv.be
Mon Jul 30 00:11:35 CEST 2007


Hello SeqFans,

Integers of A046043 are interpreted like this:

0123
1210 = one 0 two 1 one 2 zero 3 -> one,two,one,zero = 1210

0123
2020 = two 0 zero 1 two 2 zero 3 -> two,zero,two,zero = 2020

01234
21200 = two 0 one 1 two 2 zero 3 zero 4 -> two,one,two,zero,zero = 21200

0123456
3211000 = three 0 two 1 one 2 one 3 zero 4 zero 5 zero 6 -> etc. = 3211000 

...

0123456789
6210001000 = six 0 two 1 one 2 zero 3 zero 4 zero 5 one 6 zero 7 zero 8 zero 9

Now if we add an extra string "10" in the upper line we could perhaps go on in
the sequence like this:

012345678910
53110100002

... meaning that we have in the integer 53110100002:

- five (sub)strings "0"
- three strings "1"
- one string  2
- one string  3
- zero string 4
- one string  5
- zero string 6
- zero string 7
- zero string 8
- zero string 9
- two strings 10

What would be the next integers in the sequence?

Best,
E.

 


 

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