A104458 Define the first two terms to be 2 and 3. All the other terms are obtained by concatenating the two previous terms.
2, 3, 23, 323, 23323, 32323323, 2332332323323, 323233232332332323323, 2332332323323323233232332332323323, 3232332323323323233232332332323323323233232332332323323, 23323323233233232332323323323233233232332323323323233232332332323323323233232332332323323
Offset: 1
Examples
The third term is obtained by concatenating the previous two terms 2 and 3 to get 23.
Programs
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Mathematica
nxt[{a_,b_}]:={b,FromDigits[Join[IntegerDigits[a],IntegerDigits[b]]]}; NestList[nxt,{2,3},10][[All,1]] (* Harvey P. Dale, Jul 23 2018 *)
Extensions
More terms from Harvey P. Dale, Jul 23 2018