[seqfan] Self-stuffable numbers

[Éric Angelini]

Hello SeqFans,
Jean-Marc Falcoz discovered those self-stuffable numbers (see the previous post about "Stuffable numbers" by Neil Sloane):

20,22,120,126,300,2200,4000,50000,150000,202020,231000,240000,600000,1600000,2500000,7000000,12500000,14300000,40400000,44000000,80000000.

Example:
126 is a self-stuffable number as 126 will be opened in 1.2..6 and 1.2..6 will become 112266 – which is a multiple of 126.
I guess it is easy to prove that the sequence of self-stuffable numbers is infinite.

Best,
É.